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Finding the Fourth Proportional to 10,117.92, 15,178.80 and 4,571.20

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Solution

The fourth proportional to 10,117.92, 15,178.80 and 4,571.20 is: 6,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.92 : 15,178.80 = 4,571.20 : x
  2. Step 2: Convert to fraction form
    10,117.92/15,178.80 = 4,571.20/x
  3. Step 3: Cross multiply
    10,117.92x = 15,178.80 × 4,571.20
  4. Step 4: Simplify right side
    10,117.92x = 69,385,330.56
  5. Step 5: Solve for x
    x = 69,385,330.56/10,117.92
  6. Step 6: Final answer
    x = 6,857.67

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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.