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Finding the Fourth Proportional to 8,450.88, 11,665.50 and 7,565.13

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Solution

The fourth proportional to 8,450.88, 11,665.50 and 7,565.13 is: 10,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.88 : 11,665.50 = 7,565.13 : x
  2. Step 2: Convert to fraction form
    8,450.88/11,665.50 = 7,565.13/x
  3. Step 3: Cross multiply
    8,450.88x = 11,665.50 × 7,565.13
  4. Step 4: Simplify right side
    8,450.88x = 88,251,024.02
  5. Step 5: Solve for x
    x = 88,251,024.02/8,450.88
  6. Step 6: Final answer
    x = 10,442.82

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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.