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Finding the Fourth Proportional to 8,562.16, 11,801.65 and 5,728.52

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Solution

The fourth proportional to 8,562.16, 11,801.65 and 5,728.52 is: 7,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.16 : 11,801.65 = 5,728.52 : x
  2. Step 2: Convert to fraction form
    8,562.16/11,801.65 = 5,728.52/x
  3. Step 3: Cross multiply
    8,562.16x = 11,801.65 × 5,728.52
  4. Step 4: Simplify right side
    8,562.16x = 67,606,013.98
  5. Step 5: Solve for x
    x = 67,606,013.98/8,562.16
  6. Step 6: Final answer
    x = 7,895.91

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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.