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Finding the Fourth Proportional to 8,290.68, 12,429.81 and 5,003

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Solution

The fourth proportional to 8,290.68, 12,429.81 and 5,003 is: 7,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.68 : 12,429.81 = 5,003 : x
  2. Step 2: Convert to fraction form
    8,290.68/12,429.81 = 5,003/x
  3. Step 3: Cross multiply
    8,290.68x = 12,429.81 × 5,003
  4. Step 4: Simplify right side
    8,290.68x = 62,186,339.43
  5. Step 5: Solve for x
    x = 62,186,339.43/8,290.68
  6. Step 6: Final answer
    x = 7,500.75

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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.