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Finding the Fourth Proportional to 7,691.34, 10,611.62 and 4,705.68

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Solution

The fourth proportional to 7,691.34, 10,611.62 and 4,705.68 is: 6,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.34 : 10,611.62 = 4,705.68 : x
  2. Step 2: Convert to fraction form
    7,691.34/10,611.62 = 4,705.68/x
  3. Step 3: Cross multiply
    7,691.34x = 10,611.62 × 4,705.68
  4. Step 4: Simplify right side
    7,691.34x = 49,934,948.38
  5. Step 5: Solve for x
    x = 49,934,948.38/7,691.34
  6. Step 6: Final answer
    x = 6,492.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.