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Finding the Fourth Proportional to 10,549.47, 14,558.79 and 6,073.86

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Solution

The fourth proportional to 10,549.47, 14,558.79 and 6,073.86 is: 8,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.47 : 14,558.79 = 6,073.86 : x
  2. Step 2: Convert to fraction form
    10,549.47/14,558.79 = 6,073.86/x
  3. Step 3: Cross multiply
    10,549.47x = 14,558.79 × 6,073.86
  4. Step 4: Simplify right side
    10,549.47x = 88,428,052.23
  5. Step 5: Solve for x
    x = 88,428,052.23/10,549.47
  6. Step 6: Final answer
    x = 8,382.23

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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.