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Finding the Fourth Proportional to 7,077.48, 10,613.07 and 2,914.08

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Solution

The fourth proportional to 7,077.48, 10,613.07 and 2,914.08 is: 4,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.48 : 10,613.07 = 2,914.08 : x
  2. Step 2: Convert to fraction form
    7,077.48/10,613.07 = 2,914.08/x
  3. Step 3: Cross multiply
    7,077.48x = 10,613.07 × 2,914.08
  4. Step 4: Simplify right side
    7,077.48x = 30,927,335.03
  5. Step 5: Solve for x
    x = 30,927,335.03/7,077.48
  6. Step 6: Final answer
    x = 4,369.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.