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Finding the Fourth Proportional to 11,490.40, 15,856.78 and 6,713.62

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Solution

The fourth proportional to 11,490.40, 15,856.78 and 6,713.62 is: 9,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.40 : 15,856.78 = 6,713.62 : x
  2. Step 2: Convert to fraction form
    11,490.40/15,856.78 = 6,713.62/x
  3. Step 3: Cross multiply
    11,490.40x = 15,856.78 × 6,713.62
  4. Step 4: Simplify right side
    11,490.40x = 106,456,395.34
  5. Step 5: Solve for x
    x = 106,456,395.34/11,490.40
  6. Step 6: Final answer
    x = 9,264.81

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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.