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Finding the Fourth Proportional to 7,565.60, 10,444.20 and 5,049.20

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Solution

The fourth proportional to 7,565.60, 10,444.20 and 5,049.20 is: 6,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.60 : 10,444.20 = 5,049.20 : x
  2. Step 2: Convert to fraction form
    7,565.60/10,444.20 = 5,049.20/x
  3. Step 3: Cross multiply
    7,565.60x = 10,444.20 × 5,049.20
  4. Step 4: Simplify right side
    7,565.60x = 52,734,854.64
  5. Step 5: Solve for x
    x = 52,734,854.64/7,565.60
  6. Step 6: Final answer
    x = 6,970.35

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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.