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Finding the Fourth Proportional to 11,282.52, 15,571.50 and 6,569.40

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Solution

The fourth proportional to 11,282.52, 15,571.50 and 6,569.40 is: 9,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.52 : 15,571.50 = 6,569.40 : x
  2. Step 2: Convert to fraction form
    11,282.52/15,571.50 = 6,569.40/x
  3. Step 3: Cross multiply
    11,282.52x = 15,571.50 × 6,569.40
  4. Step 4: Simplify right side
    11,282.52x = 102,295,412.10
  5. Step 5: Solve for x
    x = 102,295,412.10/11,282.52
  6. Step 6: Final answer
    x = 9,066.72

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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.