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Finding the Fourth Proportional to 11,490.76, 15,857.25 and 6,454.98

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Solution

The fourth proportional to 11,490.76, 15,857.25 and 6,454.98 is: 8,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.76 : 15,857.25 = 6,454.98 : x
  2. Step 2: Convert to fraction form
    11,490.76/15,857.25 = 6,454.98/x
  3. Step 3: Cross multiply
    11,490.76x = 15,857.25 × 6,454.98
  4. Step 4: Simplify right side
    11,490.76x = 102,358,231.61
  5. Step 5: Solve for x
    x = 102,358,231.61/11,490.76
  6. Step 6: Final answer
    x = 8,907.88

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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.