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Finding the Fourth Proportional to 7,304.16, 10,080.24 and 4,159.68

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Solution

The fourth proportional to 7,304.16, 10,080.24 and 4,159.68 is: 5,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.16 : 10,080.24 = 4,159.68 : x
  2. Step 2: Convert to fraction form
    7,304.16/10,080.24 = 4,159.68/x
  3. Step 3: Cross multiply
    7,304.16x = 10,080.24 × 4,159.68
  4. Step 4: Simplify right side
    7,304.16x = 41,930,572.72
  5. Step 5: Solve for x
    x = 41,930,572.72/7,304.16
  6. Step 6: Final answer
    x = 5,740.64

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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.