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Finding the Fourth Proportional to 10,470.04, 14,448.92 and 5,754.44

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Solution

The fourth proportional to 10,470.04, 14,448.92 and 5,754.44 is: 7,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.04 : 14,448.92 = 5,754.44 : x
  2. Step 2: Convert to fraction form
    10,470.04/14,448.92 = 5,754.44/x
  3. Step 3: Cross multiply
    10,470.04x = 14,448.92 × 5,754.44
  4. Step 4: Simplify right side
    10,470.04x = 83,145,443.20
  5. Step 5: Solve for x
    x = 83,145,443.20/10,470.04
  6. Step 6: Final answer
    x = 7,941.27

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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.