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Finding the Fourth Proportional to 8,284.24, 12,405.24 and 8,038

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Solution

The fourth proportional to 8,284.24, 12,405.24 and 8,038 is: 12,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.24 : 12,405.24 = 8,038 : x
  2. Step 2: Convert to fraction form
    8,284.24/12,405.24 = 8,038/x
  3. Step 3: Cross multiply
    8,284.24x = 12,405.24 × 8,038
  4. Step 4: Simplify right side
    8,284.24x = 99,713,319.12
  5. Step 5: Solve for x
    x = 99,713,319.12/8,284.24
  6. Step 6: Final answer
    x = 12,036.51

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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.