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Finding the Fourth Proportional to 10,657.01, 15,985.50 and 2,865.82

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Solution

The fourth proportional to 10,657.01, 15,985.50 and 2,865.82 is: 4,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.01 : 15,985.50 = 2,865.82 : x
  2. Step 2: Convert to fraction form
    10,657.01/15,985.50 = 2,865.82/x
  3. Step 3: Cross multiply
    10,657.01x = 15,985.50 × 2,865.82
  4. Step 4: Simplify right side
    10,657.01x = 45,811,565.61
  5. Step 5: Solve for x
    x = 45,811,565.61/10,657.01
  6. Step 6: Final answer
    x = 4,298.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.