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Finding the Fourth Proportional to 10,849.50, 16,248.12 and 9,280.50

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Solution

The fourth proportional to 10,849.50, 16,248.12 and 9,280.50 is: 13,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.50 : 16,248.12 = 9,280.50 : x
  2. Step 2: Convert to fraction form
    10,849.50/16,248.12 = 9,280.50/x
  3. Step 3: Cross multiply
    10,849.50x = 16,248.12 × 9,280.50
  4. Step 4: Simplify right side
    10,849.50x = 150,790,677.66
  5. Step 5: Solve for x
    x = 150,790,677.66/10,849.50
  6. Step 6: Final answer
    x = 13,898.40

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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.