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Finding the Fourth Proportional to 7,689.41, 10,610.96 and 4,332.14

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Solution

The fourth proportional to 7,689.41, 10,610.96 and 4,332.14 is: 5,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.41 : 10,610.96 = 4,332.14 : x
  2. Step 2: Convert to fraction form
    7,689.41/10,610.96 = 4,332.14/x
  3. Step 3: Cross multiply
    7,689.41x = 10,610.96 × 4,332.14
  4. Step 4: Simplify right side
    7,689.41x = 45,968,164.25
  5. Step 5: Solve for x
    x = 45,968,164.25/7,689.41
  6. Step 6: Final answer
    x = 5,978.11

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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.