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Finding the Fourth Proportional to 11,242.64, 15,511.82 and 7,262.30

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Solution

The fourth proportional to 11,242.64, 15,511.82 and 7,262.30 is: 10,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.64 : 15,511.82 = 7,262.30 : x
  2. Step 2: Convert to fraction form
    11,242.64/15,511.82 = 7,262.30/x
  3. Step 3: Cross multiply
    11,242.64x = 15,511.82 × 7,262.30
  4. Step 4: Simplify right side
    11,242.64x = 112,651,490.39
  5. Step 5: Solve for x
    x = 112,651,490.39/11,242.64
  6. Step 6: Final answer
    x = 10,020.02

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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.