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Finding the Fourth Proportional to 7,306.14, 10,080.01 and 4,160.10

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Solution

The fourth proportional to 7,306.14, 10,080.01 and 4,160.10 is: 5,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.14 : 10,080.01 = 4,160.10 : x
  2. Step 2: Convert to fraction form
    7,306.14/10,080.01 = 4,160.10/x
  3. Step 3: Cross multiply
    7,306.14x = 10,080.01 × 4,160.10
  4. Step 4: Simplify right side
    7,306.14x = 41,933,828.80
  5. Step 5: Solve for x
    x = 41,933,828.80/7,306.14
  6. Step 6: Final answer
    x = 5,739.53

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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.