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Finding the Fourth Proportional to 7,304.68, 10,077.96 and 4,160.08

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Solution

The fourth proportional to 7,304.68, 10,077.96 and 4,160.08 is: 5,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.68 : 10,077.96 = 4,160.08 : x
  2. Step 2: Convert to fraction form
    7,304.68/10,077.96 = 4,160.08/x
  3. Step 3: Cross multiply
    7,304.68x = 10,077.96 × 4,160.08
  4. Step 4: Simplify right side
    7,304.68x = 41,925,119.84
  5. Step 5: Solve for x
    x = 41,925,119.84/7,304.68
  6. Step 6: Final answer
    x = 5,739.49

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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.