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Finding the Fourth Proportional to 10,212.95, 15,311.87 and 4,291.59

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Solution

The fourth proportional to 10,212.95, 15,311.87 and 4,291.59 is: 6,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.95 : 15,311.87 = 4,291.59 : x
  2. Step 2: Convert to fraction form
    10,212.95/15,311.87 = 4,291.59/x
  3. Step 3: Cross multiply
    10,212.95x = 15,311.87 × 4,291.59
  4. Step 4: Simplify right side
    10,212.95x = 65,712,205.39
  5. Step 5: Solve for x
    x = 65,712,205.39/10,212.95
  6. Step 6: Final answer
    x = 6,434.21

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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.