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Finding the Fourth Proportional to 8,308.47, 12,471.62 and 4,613.81

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Solution

The fourth proportional to 8,308.47, 12,471.62 and 4,613.81 is: 6,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.47 : 12,471.62 = 4,613.81 : x
  2. Step 2: Convert to fraction form
    8,308.47/12,471.62 = 4,613.81/x
  3. Step 3: Cross multiply
    8,308.47x = 12,471.62 × 4,613.81
  4. Step 4: Simplify right side
    8,308.47x = 57,541,695.75
  5. Step 5: Solve for x
    x = 57,541,695.75/8,308.47
  6. Step 6: Final answer
    x = 6,925.66

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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.