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Finding the Fourth Proportional to 10,937.27, 15,094.13 and 6,459.81

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Solution

The fourth proportional to 10,937.27, 15,094.13 and 6,459.81 is: 8,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.27 : 15,094.13 = 6,459.81 : x
  2. Step 2: Convert to fraction form
    10,937.27/15,094.13 = 6,459.81/x
  3. Step 3: Cross multiply
    10,937.27x = 15,094.13 × 6,459.81
  4. Step 4: Simplify right side
    10,937.27x = 97,505,179.62
  5. Step 5: Solve for x
    x = 97,505,179.62/10,937.27
  6. Step 6: Final answer
    x = 8,914.95

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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.