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Finding the Fourth Proportional to 11,447.28, 15,776.64 and 7,248.24

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Solution

The fourth proportional to 11,447.28, 15,776.64 and 7,248.24 is: 9,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.28 : 15,776.64 = 7,248.24 : x
  2. Step 2: Convert to fraction form
    11,447.28/15,776.64 = 7,248.24/x
  3. Step 3: Cross multiply
    11,447.28x = 15,776.64 × 7,248.24
  4. Step 4: Simplify right side
    11,447.28x = 114,352,873.11
  5. Step 5: Solve for x
    x = 114,352,873.11/11,447.28
  6. Step 6: Final answer
    x = 9,989.52

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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.