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Finding the Fourth Proportional to 10,943.46, 15,101.95 and 6,468.82

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Solution

The fourth proportional to 10,943.46, 15,101.95 and 6,468.82 is: 8,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.46 : 15,101.95 = 6,468.82 : x
  2. Step 2: Convert to fraction form
    10,943.46/15,101.95 = 6,468.82/x
  3. Step 3: Cross multiply
    10,943.46x = 15,101.95 × 6,468.82
  4. Step 4: Simplify right side
    10,943.46x = 97,691,796.20
  5. Step 5: Solve for x
    x = 97,691,796.20/10,943.46
  6. Step 6: Final answer
    x = 8,926.96

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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.