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Finding the Fourth Proportional to 5,665.86, 8,532.72 and 5,160.84

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Solution

The fourth proportional to 5,665.86, 8,532.72 and 5,160.84 is: 7,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.86 : 8,532.72 = 5,160.84 : x
  2. Step 2: Convert to fraction form
    5,665.86/8,532.72 = 5,160.84/x
  3. Step 3: Cross multiply
    5,665.86x = 8,532.72 × 5,160.84
  4. Step 4: Simplify right side
    5,665.86x = 44,036,002.68
  5. Step 5: Solve for x
    x = 44,036,002.68/5,665.86
  6. Step 6: Final answer
    x = 7,772.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.