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Finding the Fourth Proportional to 8,302.72, 12,463.20 and 4,406.08

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Solution

The fourth proportional to 8,302.72, 12,463.20 and 4,406.08 is: 6,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.72 : 12,463.20 = 4,406.08 : x
  2. Step 2: Convert to fraction form
    8,302.72/12,463.20 = 4,406.08/x
  3. Step 3: Cross multiply
    8,302.72x = 12,463.20 × 4,406.08
  4. Step 4: Simplify right side
    8,302.72x = 54,913,856.26
  5. Step 5: Solve for x
    x = 54,913,856.26/8,302.72
  6. Step 6: Final answer
    x = 6,613.96

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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.