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Finding the Fourth Proportional to 7,565.57, 10,440.52 and 4,378.86

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Solution

The fourth proportional to 7,565.57, 10,440.52 and 4,378.86 is: 6,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.57 : 10,440.52 = 4,378.86 : x
  2. Step 2: Convert to fraction form
    7,565.57/10,440.52 = 4,378.86/x
  3. Step 3: Cross multiply
    7,565.57x = 10,440.52 × 4,378.86
  4. Step 4: Simplify right side
    7,565.57x = 45,717,575.41
  5. Step 5: Solve for x
    x = 45,717,575.41/7,565.57
  6. Step 6: Final answer
    x = 6,042.85

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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.