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Finding the Fourth Proportional to 10,342.80, 14,272.80 and 5,627.04

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Solution

The fourth proportional to 10,342.80, 14,272.80 and 5,627.04 is: 7,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.80 : 14,272.80 = 5,627.04 : x
  2. Step 2: Convert to fraction form
    10,342.80/14,272.80 = 5,627.04/x
  3. Step 3: Cross multiply
    10,342.80x = 14,272.80 × 5,627.04
  4. Step 4: Simplify right side
    10,342.80x = 80,313,616.51
  5. Step 5: Solve for x
    x = 80,313,616.51/10,342.80
  6. Step 6: Final answer
    x = 7,765.17

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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.