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Finding the Fourth Proportional to 10,124.92, 13,967.82 and 5,931.40

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Solution

The fourth proportional to 10,124.92, 13,967.82 and 5,931.40 is: 8,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.92 : 13,967.82 = 5,931.40 : x
  2. Step 2: Convert to fraction form
    10,124.92/13,967.82 = 5,931.40/x
  3. Step 3: Cross multiply
    10,124.92x = 13,967.82 × 5,931.40
  4. Step 4: Simplify right side
    10,124.92x = 82,848,727.55
  5. Step 5: Solve for x
    x = 82,848,727.55/10,124.92
  6. Step 6: Final answer
    x = 8,182.66

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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.