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Finding the Fourth Proportional to 8,312.60, 12,463.32 and 3,926

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Solution

The fourth proportional to 8,312.60, 12,463.32 and 3,926 is: 5,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.60 : 12,463.32 = 3,926 : x
  2. Step 2: Convert to fraction form
    8,312.60/12,463.32 = 3,926/x
  3. Step 3: Cross multiply
    8,312.60x = 12,463.32 × 3,926
  4. Step 4: Simplify right side
    8,312.60x = 48,930,994.32
  5. Step 5: Solve for x
    x = 48,930,994.32/8,312.60
  6. Step 6: Final answer
    x = 5,886.36

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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.