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Finding the Fourth Proportional to 7,113.96, 10,670.90 and 2,431.71

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Solution

The fourth proportional to 7,113.96, 10,670.90 and 2,431.71 is: 3,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.96 : 10,670.90 = 2,431.71 : x
  2. Step 2: Convert to fraction form
    7,113.96/10,670.90 = 2,431.71/x
  3. Step 3: Cross multiply
    7,113.96x = 10,670.90 × 2,431.71
  4. Step 4: Simplify right side
    7,113.96x = 25,948,522.08
  5. Step 5: Solve for x
    x = 25,948,522.08/7,113.96
  6. Step 6: Final answer
    x = 3,647.55

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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.