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Finding the Fourth Proportional to 10,548.96, 14,560.38 and 6,073.20

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Solution

The fourth proportional to 10,548.96, 14,560.38 and 6,073.20 is: 8,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.96 : 14,560.38 = 6,073.20 : x
  2. Step 2: Convert to fraction form
    10,548.96/14,560.38 = 6,073.20/x
  3. Step 3: Cross multiply
    10,548.96x = 14,560.38 × 6,073.20
  4. Step 4: Simplify right side
    10,548.96x = 88,428,099.82
  5. Step 5: Solve for x
    x = 88,428,099.82/10,548.96
  6. Step 6: Final answer
    x = 8,382.64

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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.