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Finding the Fourth Proportional to 10,876.32, 16,328.25 and 9,049.77

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Solution

The fourth proportional to 10,876.32, 16,328.25 and 9,049.77 is: 13,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.32 : 16,328.25 = 9,049.77 : x
  2. Step 2: Convert to fraction form
    10,876.32/16,328.25 = 9,049.77/x
  3. Step 3: Cross multiply
    10,876.32x = 16,328.25 × 9,049.77
  4. Step 4: Simplify right side
    10,876.32x = 147,766,907.00
  5. Step 5: Solve for x
    x = 147,766,907.00/10,876.32
  6. Step 6: Final answer
    x = 13,586.11

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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.