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Finding the Fourth Proportional to 7,934.90, 11,931.50 and 7,614.14

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Solution

The fourth proportional to 7,934.90, 11,931.50 and 7,614.14 is: 11,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.90 : 11,931.50 = 7,614.14 : x
  2. Step 2: Convert to fraction form
    7,934.90/11,931.50 = 7,614.14/x
  3. Step 3: Cross multiply
    7,934.90x = 11,931.50 × 7,614.14
  4. Step 4: Simplify right side
    7,934.90x = 90,848,070.79
  5. Step 5: Solve for x
    x = 90,848,070.79/7,934.90
  6. Step 6: Final answer
    x = 11,449.18

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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.