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Finding the Fourth Proportional to 8,724.60, 12,041.14 and 5,931

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Solution

The fourth proportional to 8,724.60, 12,041.14 and 5,931 is: 8,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.60 : 12,041.14 = 5,931 : x
  2. Step 2: Convert to fraction form
    8,724.60/12,041.14 = 5,931/x
  3. Step 3: Cross multiply
    8,724.60x = 12,041.14 × 5,931
  4. Step 4: Simplify right side
    8,724.60x = 71,416,001.34
  5. Step 5: Solve for x
    x = 71,416,001.34/8,724.60
  6. Step 6: Final answer
    x = 8,185.59

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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.