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Finding the Fourth Proportional to 8,016.32, 12,024.14 and 7,828.61

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Solution

The fourth proportional to 8,016.32, 12,024.14 and 7,828.61 is: 11,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.32 : 12,024.14 = 7,828.61 : x
  2. Step 2: Convert to fraction form
    8,016.32/12,024.14 = 7,828.61/x
  3. Step 3: Cross multiply
    8,016.32x = 12,024.14 × 7,828.61
  4. Step 4: Simplify right side
    8,016.32x = 94,132,242.52
  5. Step 5: Solve for x
    x = 94,132,242.52/8,016.32
  6. Step 6: Final answer
    x = 11,742.58

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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.