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Finding the Fourth Proportional to 7,708.20, 11,546.10 and 6,250.20

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Solution

The fourth proportional to 7,708.20, 11,546.10 and 6,250.20 is: 9,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.20 : 11,546.10 = 6,250.20 : x
  2. Step 2: Convert to fraction form
    7,708.20/11,546.10 = 6,250.20/x
  3. Step 3: Cross multiply
    7,708.20x = 11,546.10 × 6,250.20
  4. Step 4: Simplify right side
    7,708.20x = 72,165,434.22
  5. Step 5: Solve for x
    x = 72,165,434.22/7,708.20
  6. Step 6: Final answer
    x = 9,362.16

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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.