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Finding the Fourth Proportional to 10,550.19, 14,553.48 and 6,769.14

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Solution

The fourth proportional to 10,550.19, 14,553.48 and 6,769.14 is: 9,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.19 : 14,553.48 = 6,769.14 : x
  2. Step 2: Convert to fraction form
    10,550.19/14,553.48 = 6,769.14/x
  3. Step 3: Cross multiply
    10,550.19x = 14,553.48 × 6,769.14
  4. Step 4: Simplify right side
    10,550.19x = 98,514,543.61
  5. Step 5: Solve for x
    x = 98,514,543.61/10,550.19
  6. Step 6: Final answer
    x = 9,337.70

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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.