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Finding the Fourth Proportional to 10,138.76, 15,178.80 and 6,231.32

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Solution

The fourth proportional to 10,138.76, 15,178.80 and 6,231.32 is: 9,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.76 : 15,178.80 = 6,231.32 : x
  2. Step 2: Convert to fraction form
    10,138.76/15,178.80 = 6,231.32/x
  3. Step 3: Cross multiply
    10,138.76x = 15,178.80 × 6,231.32
  4. Step 4: Simplify right side
    10,138.76x = 94,583,960.02
  5. Step 5: Solve for x
    x = 94,583,960.02/10,138.76
  6. Step 6: Final answer
    x = 9,328.95

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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.