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Finding the Fourth Proportional to 8,275.52, 12,417.28 and 3,657.92

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Solution

The fourth proportional to 8,275.52, 12,417.28 and 3,657.92 is: 5,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.52 : 12,417.28 = 3,657.92 : x
  2. Step 2: Convert to fraction form
    8,275.52/12,417.28 = 3,657.92/x
  3. Step 3: Cross multiply
    8,275.52x = 12,417.28 × 3,657.92
  4. Step 4: Simplify right side
    8,275.52x = 45,421,416.86
  5. Step 5: Solve for x
    x = 45,421,416.86/8,275.52
  6. Step 6: Final answer
    x = 5,488.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.