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Finding the Fourth Proportional to 10,311.70, 15,470.64 and 4,072.60

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Solution

The fourth proportional to 10,311.70, 15,470.64 and 4,072.60 is: 6,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.70 : 15,470.64 = 4,072.60 : x
  2. Step 2: Convert to fraction form
    10,311.70/15,470.64 = 4,072.60/x
  3. Step 3: Cross multiply
    10,311.70x = 15,470.64 × 4,072.60
  4. Step 4: Simplify right side
    10,311.70x = 63,005,728.46
  5. Step 5: Solve for x
    x = 63,005,728.46/10,311.70
  6. Step 6: Final answer
    x = 6,110.12

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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.