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Finding the Fourth Proportional to 8,468.96, 12,711.31 and 4,312.07

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Solution

The fourth proportional to 8,468.96, 12,711.31 and 4,312.07 is: 6,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.96 : 12,711.31 = 4,312.07 : x
  2. Step 2: Convert to fraction form
    8,468.96/12,711.31 = 4,312.07/x
  3. Step 3: Cross multiply
    8,468.96x = 12,711.31 × 4,312.07
  4. Step 4: Simplify right side
    8,468.96x = 54,812,058.51
  5. Step 5: Solve for x
    x = 54,812,058.51/8,468.96
  6. Step 6: Final answer
    x = 6,472.12

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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.