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Finding the Fourth Proportional to 10,470.10, 14,448.21 and 5,754.55

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Solution

The fourth proportional to 10,470.10, 14,448.21 and 5,754.55 is: 7,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.10 : 14,448.21 = 5,754.55 : x
  2. Step 2: Convert to fraction form
    10,470.10/14,448.21 = 5,754.55/x
  3. Step 3: Cross multiply
    10,470.10x = 14,448.21 × 5,754.55
  4. Step 4: Simplify right side
    10,470.10x = 83,142,918.08
  5. Step 5: Solve for x
    x = 83,142,918.08/10,470.10
  6. Step 6: Final answer
    x = 7,940.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.