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Finding the Fourth Proportional to 11,468.08, 15,825.02 and 6,363.76

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Solution

The fourth proportional to 11,468.08, 15,825.02 and 6,363.76 is: 8,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.08 : 15,825.02 = 6,363.76 : x
  2. Step 2: Convert to fraction form
    11,468.08/15,825.02 = 6,363.76/x
  3. Step 3: Cross multiply
    11,468.08x = 15,825.02 × 6,363.76
  4. Step 4: Simplify right side
    11,468.08x = 100,706,629.28
  5. Step 5: Solve for x
    x = 100,706,629.28/11,468.08
  6. Step 6: Final answer
    x = 8,781.47

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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.