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Finding the Fourth Proportional to 10,562.80, 14,576.44 and 5,847

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Solution

The fourth proportional to 10,562.80, 14,576.44 and 5,847 is: 8,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.80 : 14,576.44 = 5,847 : x
  2. Step 2: Convert to fraction form
    10,562.80/14,576.44 = 5,847/x
  3. Step 3: Cross multiply
    10,562.80x = 14,576.44 × 5,847
  4. Step 4: Simplify right side
    10,562.80x = 85,228,444.68
  5. Step 5: Solve for x
    x = 85,228,444.68/10,562.80
  6. Step 6: Final answer
    x = 8,068.74

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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.