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Finding the Fourth Proportional to 10,329.03, 14,256.14 and 6,136.47

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Solution

The fourth proportional to 10,329.03, 14,256.14 and 6,136.47 is: 8,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.03 : 14,256.14 = 6,136.47 : x
  2. Step 2: Convert to fraction form
    10,329.03/14,256.14 = 6,136.47/x
  3. Step 3: Cross multiply
    10,329.03x = 14,256.14 × 6,136.47
  4. Step 4: Simplify right side
    10,329.03x = 87,482,344.74
  5. Step 5: Solve for x
    x = 87,482,344.74/10,329.03
  6. Step 6: Final answer
    x = 8,469.56

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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.