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Finding the Fourth Proportional to 11,153.71, 15,389.60 and 7,569.16

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Solution

The fourth proportional to 11,153.71, 15,389.60 and 7,569.16 is: 10,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.71 : 15,389.60 = 7,569.16 : x
  2. Step 2: Convert to fraction form
    11,153.71/15,389.60 = 7,569.16/x
  3. Step 3: Cross multiply
    11,153.71x = 15,389.60 × 7,569.16
  4. Step 4: Simplify right side
    11,153.71x = 116,486,268.42
  5. Step 5: Solve for x
    x = 116,486,268.42/11,153.71
  6. Step 6: Final answer
    x = 10,443.72

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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.