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Finding the Fourth Proportional to 10,842.12, 14,961.78 and 6,125.40

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Solution

The fourth proportional to 10,842.12, 14,961.78 and 6,125.40 is: 8,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.12 : 14,961.78 = 6,125.40 : x
  2. Step 2: Convert to fraction form
    10,842.12/14,961.78 = 6,125.40/x
  3. Step 3: Cross multiply
    10,842.12x = 14,961.78 × 6,125.40
  4. Step 4: Simplify right side
    10,842.12x = 91,646,887.21
  5. Step 5: Solve for x
    x = 91,646,887.21/10,842.12
  6. Step 6: Final answer
    x = 8,452.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.