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Finding the Fourth Proportional to 10,484.76, 14,469.18 and 5,769.04

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Solution

The fourth proportional to 10,484.76, 14,469.18 and 5,769.04 is: 7,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.76 : 14,469.18 = 5,769.04 : x
  2. Step 2: Convert to fraction form
    10,484.76/14,469.18 = 5,769.04/x
  3. Step 3: Cross multiply
    10,484.76x = 14,469.18 × 5,769.04
  4. Step 4: Simplify right side
    10,484.76x = 83,473,278.19
  5. Step 5: Solve for x
    x = 83,473,278.19/10,484.76
  6. Step 6: Final answer
    x = 7,961.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.