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Finding the Fourth Proportional to 7,182.90, 9,913.38 and 4,350.60

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Solution

The fourth proportional to 7,182.90, 9,913.38 and 4,350.60 is: 6,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.90 : 9,913.38 = 4,350.60 : x
  2. Step 2: Convert to fraction form
    7,182.90/9,913.38 = 4,350.60/x
  3. Step 3: Cross multiply
    7,182.90x = 9,913.38 × 4,350.60
  4. Step 4: Simplify right side
    7,182.90x = 43,129,151.03
  5. Step 5: Solve for x
    x = 43,129,151.03/7,182.90
  6. Step 6: Final answer
    x = 6,004.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.