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Finding the Fourth Proportional to 8,472.72, 12,701.52 and 4,310.40

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Solution

The fourth proportional to 8,472.72, 12,701.52 and 4,310.40 is: 6,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.72 : 12,701.52 = 4,310.40 : x
  2. Step 2: Convert to fraction form
    8,472.72/12,701.52 = 4,310.40/x
  3. Step 3: Cross multiply
    8,472.72x = 12,701.52 × 4,310.40
  4. Step 4: Simplify right side
    8,472.72x = 54,748,631.81
  5. Step 5: Solve for x
    x = 54,748,631.81/8,472.72
  6. Step 6: Final answer
    x = 6,461.75

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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.