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Finding the Fourth Proportional to 11,662,649.98, 16,097,658.06 and 6,769,448.55

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Solution

The fourth proportional to 11,662,649.98, 16,097,658.06 and 6,769,448.55 is: 9,343,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662,649.98 : 16,097,658.06 = 6,769,448.55 : x
  2. Step 2: Convert to fraction form
    11,662,649.98/16,097,658.06 = 6,769,448.55/x
  3. Step 3: Cross multiply
    11,662,649.98x = 16,097,658.06 × 6,769,448.55
  4. Step 4: Simplify right side
    11,662,649.98x = 108,972,268,013,085.23
  5. Step 5: Solve for x
    x = 108,972,268,013,085.23/11,662,649.98
  6. Step 6: Final answer
    x = 9,343,697.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.