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Finding the Fourth Proportional to 7,665.12, 10,565.28 and 5,893.20

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Solution

The fourth proportional to 7,665.12, 10,565.28 and 5,893.20 is: 8,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.12 : 10,565.28 = 5,893.20 : x
  2. Step 2: Convert to fraction form
    7,665.12/10,565.28 = 5,893.20/x
  3. Step 3: Cross multiply
    7,665.12x = 10,565.28 × 5,893.20
  4. Step 4: Simplify right side
    7,665.12x = 62,263,308.10
  5. Step 5: Solve for x
    x = 62,263,308.10/7,665.12
  6. Step 6: Final answer
    x = 8,122.94

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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.