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Finding the Fourth Proportional to 10,543.38, 14,549.40 and 5,827.56

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Solution

The fourth proportional to 10,543.38, 14,549.40 and 5,827.56 is: 8,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.38 : 14,549.40 = 5,827.56 : x
  2. Step 2: Convert to fraction form
    10,543.38/14,549.40 = 5,827.56/x
  3. Step 3: Cross multiply
    10,543.38x = 14,549.40 × 5,827.56
  4. Step 4: Simplify right side
    10,543.38x = 84,787,501.46
  5. Step 5: Solve for x
    x = 84,787,501.46/10,543.38
  6. Step 6: Final answer
    x = 8,041.78

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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.