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Finding the Fourth Proportional to 11,569.46, 15,965.78 and 6,264.26

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Solution

The fourth proportional to 11,569.46, 15,965.78 and 6,264.26 is: 8,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.46 : 15,965.78 = 6,264.26 : x
  2. Step 2: Convert to fraction form
    11,569.46/15,965.78 = 6,264.26/x
  3. Step 3: Cross multiply
    11,569.46x = 15,965.78 × 6,264.26
  4. Step 4: Simplify right side
    11,569.46x = 100,013,685.87
  5. Step 5: Solve for x
    x = 100,013,685.87/11,569.46
  6. Step 6: Final answer
    x = 8,644.63

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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.