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Finding the Fourth Proportional to 7,657.12, 10,565.04 and 5,557.60

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Solution

The fourth proportional to 7,657.12, 10,565.04 and 5,557.60 is: 7,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.12 : 10,565.04 = 5,557.60 : x
  2. Step 2: Convert to fraction form
    7,657.12/10,565.04 = 5,557.60/x
  3. Step 3: Cross multiply
    7,657.12x = 10,565.04 × 5,557.60
  4. Step 4: Simplify right side
    7,657.12x = 58,716,266.30
  5. Step 5: Solve for x
    x = 58,716,266.30/7,657.12
  6. Step 6: Final answer
    x = 7,668.19

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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.