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Finding the Fourth Proportional to 11,298.47, 15,592.82 and 6,264.27

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Solution

The fourth proportional to 11,298.47, 15,592.82 and 6,264.27 is: 8,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.47 : 15,592.82 = 6,264.27 : x
  2. Step 2: Convert to fraction form
    11,298.47/15,592.82 = 6,264.27/x
  3. Step 3: Cross multiply
    11,298.47x = 15,592.82 × 6,264.27
  4. Step 4: Simplify right side
    11,298.47x = 97,677,634.54
  5. Step 5: Solve for x
    x = 97,677,634.54/11,298.47
  6. Step 6: Final answer
    x = 8,645.21

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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.