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Finding the Fourth Proportional to 8,287.01, 12,428.64 and 2,363.77

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Solution

The fourth proportional to 8,287.01, 12,428.64 and 2,363.77 is: 3,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.01 : 12,428.64 = 2,363.77 : x
  2. Step 2: Convert to fraction form
    8,287.01/12,428.64 = 2,363.77/x
  3. Step 3: Cross multiply
    8,287.01x = 12,428.64 × 2,363.77
  4. Step 4: Simplify right side
    8,287.01x = 29,378,461.91
  5. Step 5: Solve for x
    x = 29,378,461.91/8,287.01
  6. Step 6: Final answer
    x = 3,545.12

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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.