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Finding the Fourth Proportional to 10,342.67, 14,274.35 and 5,867.53

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Solution

The fourth proportional to 10,342.67, 14,274.35 and 5,867.53 is: 8,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.67 : 14,274.35 = 5,867.53 : x
  2. Step 2: Convert to fraction form
    10,342.67/14,274.35 = 5,867.53/x
  3. Step 3: Cross multiply
    10,342.67x = 14,274.35 × 5,867.53
  4. Step 4: Simplify right side
    10,342.67x = 83,755,176.86
  5. Step 5: Solve for x
    x = 83,755,176.86/10,342.67
  6. Step 6: Final answer
    x = 8,098.02

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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.