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Finding the Fourth Proportional to 10,122, 15,181.38 and 7,191.42

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Solution

The fourth proportional to 10,122, 15,181.38 and 7,191.42 is: 10,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 15,181.38 = 7,191.42 : x
  2. Step 2: Convert to fraction form
    10,122/15,181.38 = 7,191.42/x
  3. Step 3: Cross multiply
    10,122x = 15,181.38 × 7,191.42
  4. Step 4: Simplify right side
    10,122x = 109,175,679.76
  5. Step 5: Solve for x
    x = 109,175,679.76/10,122
  6. Step 6: Final answer
    x = 10,785.98

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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.