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Finding the Fourth Proportional to 11,648.16, 16,065.88 and 7,395.56

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Solution

The fourth proportional to 11,648.16, 16,065.88 and 7,395.56 is: 10,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.16 : 16,065.88 = 7,395.56 : x
  2. Step 2: Convert to fraction form
    11,648.16/16,065.88 = 7,395.56/x
  3. Step 3: Cross multiply
    11,648.16x = 16,065.88 × 7,395.56
  4. Step 4: Simplify right side
    11,648.16x = 118,816,179.49
  5. Step 5: Solve for x
    x = 118,816,179.49/11,648.16
  6. Step 6: Final answer
    x = 10,200.42

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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.