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Finding the Fourth Proportional to 7,309.28, 10,948.19 and 4,180.50

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Solution

The fourth proportional to 7,309.28, 10,948.19 and 4,180.50 is: 6,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.28 : 10,948.19 = 4,180.50 : x
  2. Step 2: Convert to fraction form
    7,309.28/10,948.19 = 4,180.50/x
  3. Step 3: Cross multiply
    7,309.28x = 10,948.19 × 4,180.50
  4. Step 4: Simplify right side
    7,309.28x = 45,768,887.39
  5. Step 5: Solve for x
    x = 45,768,887.39/7,309.28
  6. Step 6: Final answer
    x = 6,261.75

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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.