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Finding the Fourth Proportional to 10,012.88, 15,022.84 and 4,470.16

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Solution

The fourth proportional to 10,012.88, 15,022.84 and 4,470.16 is: 6,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.88 : 15,022.84 = 4,470.16 : x
  2. Step 2: Convert to fraction form
    10,012.88/15,022.84 = 4,470.16/x
  3. Step 3: Cross multiply
    10,012.88x = 15,022.84 × 4,470.16
  4. Step 4: Simplify right side
    10,012.88x = 67,154,498.45
  5. Step 5: Solve for x
    x = 67,154,498.45/10,012.88
  6. Step 6: Final answer
    x = 6,706.81

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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.