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Finding the Fourth Proportional to 7,610.32, 10,509.42 and 7,196.14

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Solution

The fourth proportional to 7,610.32, 10,509.42 and 7,196.14 is: 9,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.32 : 10,509.42 = 7,196.14 : x
  2. Step 2: Convert to fraction form
    7,610.32/10,509.42 = 7,196.14/x
  3. Step 3: Cross multiply
    7,610.32x = 10,509.42 × 7,196.14
  4. Step 4: Simplify right side
    7,610.32x = 75,627,257.64
  5. Step 5: Solve for x
    x = 75,627,257.64/7,610.32
  6. Step 6: Final answer
    x = 9,937.46

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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.