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Finding the Fourth Proportional to 11,281.76, 15,568.80 and 6,569.16

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Solution

The fourth proportional to 11,281.76, 15,568.80 and 6,569.16 is: 9,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.76 : 15,568.80 = 6,569.16 : x
  2. Step 2: Convert to fraction form
    11,281.76/15,568.80 = 6,569.16/x
  3. Step 3: Cross multiply
    11,281.76x = 15,568.80 × 6,569.16
  4. Step 4: Simplify right side
    11,281.76x = 102,273,938.21
  5. Step 5: Solve for x
    x = 102,273,938.21/11,281.76
  6. Step 6: Final answer
    x = 9,065.42

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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.