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Finding the Fourth Proportional to 11,634.98, 16,053.54 and 6,598.04

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Solution

The fourth proportional to 11,634.98, 16,053.54 and 6,598.04 is: 9,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.98 : 16,053.54 = 6,598.04 : x
  2. Step 2: Convert to fraction form
    11,634.98/16,053.54 = 6,598.04/x
  3. Step 3: Cross multiply
    11,634.98x = 16,053.54 × 6,598.04
  4. Step 4: Simplify right side
    11,634.98x = 105,921,899.06
  5. Step 5: Solve for x
    x = 105,921,899.06/11,634.98
  6. Step 6: Final answer
    x = 9,103.75

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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.