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Finding the Fourth Proportional to 8,312.12, 12,468.16 and 2,468.72

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Solution

The fourth proportional to 8,312.12, 12,468.16 and 2,468.72 is: 3,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.12 : 12,468.16 = 2,468.72 : x
  2. Step 2: Convert to fraction form
    8,312.12/12,468.16 = 2,468.72/x
  3. Step 3: Cross multiply
    8,312.12x = 12,468.16 × 2,468.72
  4. Step 4: Simplify right side
    8,312.12x = 30,780,395.96
  5. Step 5: Solve for x
    x = 30,780,395.96/8,312.12
  6. Step 6: Final answer
    x = 3,703.07

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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.