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Finding the Fourth Proportional to 10,561, 14,572.92 and 5,844.64

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Solution

The fourth proportional to 10,561, 14,572.92 and 5,844.64 is: 8,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561 : 14,572.92 = 5,844.64 : x
  2. Step 2: Convert to fraction form
    10,561/14,572.92 = 5,844.64/x
  3. Step 3: Cross multiply
    10,561x = 14,572.92 × 5,844.64
  4. Step 4: Simplify right side
    10,561x = 85,173,471.15
  5. Step 5: Solve for x
    x = 85,173,471.15/10,561
  6. Step 6: Final answer
    x = 8,064.91

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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.