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Finding the Fourth Proportional to 7,934.08, 10,948.90 and 4,349

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Solution

The fourth proportional to 7,934.08, 10,948.90 and 4,349 is: 6,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.08 : 10,948.90 = 4,349 : x
  2. Step 2: Convert to fraction form
    7,934.08/10,948.90 = 4,349/x
  3. Step 3: Cross multiply
    7,934.08x = 10,948.90 × 4,349
  4. Step 4: Simplify right side
    7,934.08x = 47,616,766.10
  5. Step 5: Solve for x
    x = 47,616,766.10/7,934.08
  6. Step 6: Final answer
    x = 6,001.55

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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.