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Finding the Fourth Proportional to 11,569.57, 15,965.07 and 6,535.01

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Solution

The fourth proportional to 11,569.57, 15,965.07 and 6,535.01 is: 9,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.57 : 15,965.07 = 6,535.01 : x
  2. Step 2: Convert to fraction form
    11,569.57/15,965.07 = 6,535.01/x
  3. Step 3: Cross multiply
    11,569.57x = 15,965.07 × 6,535.01
  4. Step 4: Simplify right side
    11,569.57x = 104,331,892.10
  5. Step 5: Solve for x
    x = 104,331,892.10/11,569.57
  6. Step 6: Final answer
    x = 9,017.78

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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.