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Finding the Fourth Proportional to 7,305.60, 10,077.92 and 5,534.14

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Solution

The fourth proportional to 7,305.60, 10,077.92 and 5,534.14 is: 7,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.60 : 10,077.92 = 5,534.14 : x
  2. Step 2: Convert to fraction form
    7,305.60/10,077.92 = 5,534.14/x
  3. Step 3: Cross multiply
    7,305.60x = 10,077.92 × 5,534.14
  4. Step 4: Simplify right side
    7,305.60x = 55,772,620.19
  5. Step 5: Solve for x
    x = 55,772,620.19/7,305.60
  6. Step 6: Final answer
    x = 7,634.23

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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.