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Finding the Fourth Proportional to 10,176.17, 14,047.97 and 6,778.83

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Solution

The fourth proportional to 10,176.17, 14,047.97 and 6,778.83 is: 9,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.17 : 14,047.97 = 6,778.83 : x
  2. Step 2: Convert to fraction form
    10,176.17/14,047.97 = 6,778.83/x
  3. Step 3: Cross multiply
    10,176.17x = 14,047.97 × 6,778.83
  4. Step 4: Simplify right side
    10,176.17x = 95,228,800.48
  5. Step 5: Solve for x
    x = 95,228,800.48/10,176.17
  6. Step 6: Final answer
    x = 9,358.02

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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.