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Finding the Fourth Proportional to 11,490.28, 15,856.14 and 7,461.16

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Solution

The fourth proportional to 11,490.28, 15,856.14 and 7,461.16 is: 10,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.28 : 15,856.14 = 7,461.16 : x
  2. Step 2: Convert to fraction form
    11,490.28/15,856.14 = 7,461.16/x
  3. Step 3: Cross multiply
    11,490.28x = 15,856.14 × 7,461.16
  4. Step 4: Simplify right side
    11,490.28x = 118,305,197.52
  5. Step 5: Solve for x
    x = 118,305,197.52/11,490.28
  6. Step 6: Final answer
    x = 10,296.11

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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.