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Finding the Fourth Proportional to 10,178.70, 15,269.87 and 5,247.01

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Solution

The fourth proportional to 10,178.70, 15,269.87 and 5,247.01 is: 7,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.70 : 15,269.87 = 5,247.01 : x
  2. Step 2: Convert to fraction form
    10,178.70/15,269.87 = 5,247.01/x
  3. Step 3: Cross multiply
    10,178.70x = 15,269.87 × 5,247.01
  4. Step 4: Simplify right side
    10,178.70x = 80,121,160.59
  5. Step 5: Solve for x
    x = 80,121,160.59/10,178.70
  6. Step 6: Final answer
    x = 7,871.45

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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.