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Finding the Fourth Proportional to 10,611.30, 15,906.45 and 4,691.40

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Solution

The fourth proportional to 10,611.30, 15,906.45 and 4,691.40 is: 7,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.30 : 15,906.45 = 4,691.40 : x
  2. Step 2: Convert to fraction form
    10,611.30/15,906.45 = 4,691.40/x
  3. Step 3: Cross multiply
    10,611.30x = 15,906.45 × 4,691.40
  4. Step 4: Simplify right side
    10,611.30x = 74,623,519.53
  5. Step 5: Solve for x
    x = 74,623,519.53/10,611.30
  6. Step 6: Final answer
    x = 7,032.46

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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.