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Finding the Fourth Proportional to 8,378.12, 12,567.16 and 2,534.72

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Solution

The fourth proportional to 8,378.12, 12,567.16 and 2,534.72 is: 3,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.12 : 12,567.16 = 2,534.72 : x
  2. Step 2: Convert to fraction form
    8,378.12/12,567.16 = 2,534.72/x
  3. Step 3: Cross multiply
    8,378.12x = 12,567.16 × 2,534.72
  4. Step 4: Simplify right side
    8,378.12x = 31,854,231.80
  5. Step 5: Solve for x
    x = 31,854,231.80/8,378.12
  6. Step 6: Final answer
    x = 3,802.07

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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.