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Finding the Fourth Proportional to 10,225.12, 14,111.07 and 5,978.92

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Solution

The fourth proportional to 10,225.12, 14,111.07 and 5,978.92 is: 8,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.12 : 14,111.07 = 5,978.92 : x
  2. Step 2: Convert to fraction form
    10,225.12/14,111.07 = 5,978.92/x
  3. Step 3: Cross multiply
    10,225.12x = 14,111.07 × 5,978.92
  4. Step 4: Simplify right side
    10,225.12x = 84,368,958.64
  5. Step 5: Solve for x
    x = 84,368,958.64/10,225.12
  6. Step 6: Final answer
    x = 8,251.15

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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.