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Finding the Fourth Proportional to 10,774.90, 16,136.43 and 7,301.62

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Solution

The fourth proportional to 10,774.90, 16,136.43 and 7,301.62 is: 10,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.90 : 16,136.43 = 7,301.62 : x
  2. Step 2: Convert to fraction form
    10,774.90/16,136.43 = 7,301.62/x
  3. Step 3: Cross multiply
    10,774.90x = 16,136.43 × 7,301.62
  4. Step 4: Simplify right side
    10,774.90x = 117,822,080.02
  5. Step 5: Solve for x
    x = 117,822,080.02/10,774.90
  6. Step 6: Final answer
    x = 10,934.87

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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.