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Finding the Fourth Proportional to 8,971, 12,380.70 and 5,245.72

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Solution

The fourth proportional to 8,971, 12,380.70 and 5,245.72 is: 7,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971 : 12,380.70 = 5,245.72 : x
  2. Step 2: Convert to fraction form
    8,971/12,380.70 = 5,245.72/x
  3. Step 3: Cross multiply
    8,971x = 12,380.70 × 5,245.72
  4. Step 4: Simplify right side
    8,971x = 64,945,685.60
  5. Step 5: Solve for x
    x = 64,945,685.60/8,971
  6. Step 6: Final answer
    x = 7,239.51

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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.