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Finding the Fourth Proportional to 10,588.85, 15,881.34 and 4,012.86

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Solution

The fourth proportional to 10,588.85, 15,881.34 and 4,012.86 is: 6,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.85 : 15,881.34 = 4,012.86 : x
  2. Step 2: Convert to fraction form
    10,588.85/15,881.34 = 4,012.86/x
  3. Step 3: Cross multiply
    10,588.85x = 15,881.34 × 4,012.86
  4. Step 4: Simplify right side
    10,588.85x = 63,729,594.03
  5. Step 5: Solve for x
    x = 63,729,594.03/10,588.85
  6. Step 6: Final answer
    x = 6,018.56

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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.