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Finding the Fourth Proportional to 8,178.32, 12,266.34 and 2,631.01

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Solution

The fourth proportional to 8,178.32, 12,266.34 and 2,631.01 is: 3,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.32 : 12,266.34 = 2,631.01 : x
  2. Step 2: Convert to fraction form
    8,178.32/12,266.34 = 2,631.01/x
  3. Step 3: Cross multiply
    8,178.32x = 12,266.34 × 2,631.01
  4. Step 4: Simplify right side
    8,178.32x = 32,272,811.17
  5. Step 5: Solve for x
    x = 32,272,811.17/8,178.32
  6. Step 6: Final answer
    x = 3,946.14

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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.