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Finding the Fourth Proportional to 8,237.13, 12,353.14 and 2,971.46

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Solution

The fourth proportional to 8,237.13, 12,353.14 and 2,971.46 is: 4,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.13 : 12,353.14 = 2,971.46 : x
  2. Step 2: Convert to fraction form
    8,237.13/12,353.14 = 2,971.46/x
  3. Step 3: Cross multiply
    8,237.13x = 12,353.14 × 2,971.46
  4. Step 4: Simplify right side
    8,237.13x = 36,706,784.76
  5. Step 5: Solve for x
    x = 36,706,784.76/8,237.13
  6. Step 6: Final answer
    x = 4,456.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.