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Finding the Fourth Proportional to 11,282.38, 15,569.57 and 6,500.57

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Solution

The fourth proportional to 11,282.38, 15,569.57 and 6,500.57 is: 8,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.38 : 15,569.57 = 6,500.57 : x
  2. Step 2: Convert to fraction form
    11,282.38/15,569.57 = 6,500.57/x
  3. Step 3: Cross multiply
    11,282.38x = 15,569.57 × 6,500.57
  4. Step 4: Simplify right side
    11,282.38x = 101,211,018.06
  5. Step 5: Solve for x
    x = 101,211,018.06/11,282.38
  6. Step 6: Final answer
    x = 8,970.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.