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Finding the Fourth Proportional to 10,575.69, 14,594.48 and 5,860

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Solution

The fourth proportional to 10,575.69, 14,594.48 and 5,860 is: 8,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.69 : 14,594.48 = 5,860 : x
  2. Step 2: Convert to fraction form
    10,575.69/14,594.48 = 5,860/x
  3. Step 3: Cross multiply
    10,575.69x = 14,594.48 × 5,860
  4. Step 4: Simplify right side
    10,575.69x = 85,523,652.80
  5. Step 5: Solve for x
    x = 85,523,652.80/10,575.69
  6. Step 6: Final answer
    x = 8,086.82

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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.