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Finding the Fourth Proportional to 10,470.75, 15,706.13 and 2,679.57

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Solution

The fourth proportional to 10,470.75, 15,706.13 and 2,679.57 is: 4,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.75 : 15,706.13 = 2,679.57 : x
  2. Step 2: Convert to fraction form
    10,470.75/15,706.13 = 2,679.57/x
  3. Step 3: Cross multiply
    10,470.75x = 15,706.13 × 2,679.57
  4. Step 4: Simplify right side
    10,470.75x = 42,085,661.37
  5. Step 5: Solve for x
    x = 42,085,661.37/10,470.75
  6. Step 6: Final answer
    x = 4,019.36

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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.