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Finding the Fourth Proportional to 8,232.40, 12,356.70 and 4,077.10

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Solution

The fourth proportional to 8,232.40, 12,356.70 and 4,077.10 is: 6,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.40 : 12,356.70 = 4,077.10 : x
  2. Step 2: Convert to fraction form
    8,232.40/12,356.70 = 4,077.10/x
  3. Step 3: Cross multiply
    8,232.40x = 12,356.70 × 4,077.10
  4. Step 4: Simplify right side
    8,232.40x = 50,379,501.57
  5. Step 5: Solve for x
    x = 50,379,501.57/8,232.40
  6. Step 6: Final answer
    x = 6,119.66

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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.