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Finding the Fourth Proportional to 8,102.36, 12,151.70 and 5,290.30

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Solution

The fourth proportional to 8,102.36, 12,151.70 and 5,290.30 is: 7,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.36 : 12,151.70 = 5,290.30 : x
  2. Step 2: Convert to fraction form
    8,102.36/12,151.70 = 5,290.30/x
  3. Step 3: Cross multiply
    8,102.36x = 12,151.70 × 5,290.30
  4. Step 4: Simplify right side
    8,102.36x = 64,286,138.51
  5. Step 5: Solve for x
    x = 64,286,138.51/8,102.36
  6. Step 6: Final answer
    x = 7,934.25

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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.