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Finding the Fourth Proportional to 7,610.88, 10,507.66 and 7,140.28

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Solution

The fourth proportional to 7,610.88, 10,507.66 and 7,140.28 is: 9,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.88 : 10,507.66 = 7,140.28 : x
  2. Step 2: Convert to fraction form
    7,610.88/10,507.66 = 7,140.28/x
  3. Step 3: Cross multiply
    7,610.88x = 10,507.66 × 7,140.28
  4. Step 4: Simplify right side
    7,610.88x = 75,027,634.54
  5. Step 5: Solve for x
    x = 75,027,634.54/7,610.88
  6. Step 6: Final answer
    x = 9,857.94

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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.