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Finding the Fourth Proportional to 7,747.38, 10,689.01 and 4,389.66

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Solution

The fourth proportional to 7,747.38, 10,689.01 and 4,389.66 is: 6,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.38 : 10,689.01 = 4,389.66 : x
  2. Step 2: Convert to fraction form
    7,747.38/10,689.01 = 4,389.66/x
  3. Step 3: Cross multiply
    7,747.38x = 10,689.01 × 4,389.66
  4. Step 4: Simplify right side
    7,747.38x = 46,921,119.64
  5. Step 5: Solve for x
    x = 46,921,119.64/7,747.38
  6. Step 6: Final answer
    x = 6,056.39

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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.