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Finding the Fourth Proportional to 7,314.12, 10,971.17 and 2,383.76

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Solution

The fourth proportional to 7,314.12, 10,971.17 and 2,383.76 is: 3,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.12 : 10,971.17 = 2,383.76 : x
  2. Step 2: Convert to fraction form
    7,314.12/10,971.17 = 2,383.76/x
  3. Step 3: Cross multiply
    7,314.12x = 10,971.17 × 2,383.76
  4. Step 4: Simplify right side
    7,314.12x = 26,152,569.42
  5. Step 5: Solve for x
    x = 26,152,569.42/7,314.12
  6. Step 6: Final answer
    x = 3,575.63

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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.