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Finding the Fourth Proportional to 10,778.50, 14,876.95 and 10,158.85

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Solution

The fourth proportional to 10,778.50, 14,876.95 and 10,158.85 is: 14,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.50 : 14,876.95 = 10,158.85 : x
  2. Step 2: Convert to fraction form
    10,778.50/14,876.95 = 10,158.85/x
  3. Step 3: Cross multiply
    10,778.50x = 14,876.95 × 10,158.85
  4. Step 4: Simplify right side
    10,778.50x = 151,132,629.12
  5. Step 5: Solve for x
    x = 151,132,629.12/10,778.50
  6. Step 6: Final answer
    x = 14,021.68

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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.