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Finding the Fourth Proportional to 8,729.19, 13,097.25 and 3,182.91

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Solution

The fourth proportional to 8,729.19, 13,097.25 and 3,182.91 is: 4,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.19 : 13,097.25 = 3,182.91 : x
  2. Step 2: Convert to fraction form
    8,729.19/13,097.25 = 3,182.91/x
  3. Step 3: Cross multiply
    8,729.19x = 13,097.25 × 3,182.91
  4. Step 4: Simplify right side
    8,729.19x = 41,687,368.00
  5. Step 5: Solve for x
    x = 41,687,368.00/8,729.19
  6. Step 6: Final answer
    x = 4,775.63

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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.