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Finding the Fourth Proportional to 11,490.49, 15,856.28 and 6,454.92

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Solution

The fourth proportional to 11,490.49, 15,856.28 and 6,454.92 is: 8,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.49 : 15,856.28 = 6,454.92 : x
  2. Step 2: Convert to fraction form
    11,490.49/15,856.28 = 6,454.92/x
  3. Step 3: Cross multiply
    11,490.49x = 15,856.28 × 6,454.92
  4. Step 4: Simplify right side
    11,490.49x = 102,350,986.62
  5. Step 5: Solve for x
    x = 102,350,986.62/11,490.49
  6. Step 6: Final answer
    x = 8,907.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.