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Finding the Fourth Proportional to 7,965.95, 10,987.25 and 6,142.23

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Solution

The fourth proportional to 7,965.95, 10,987.25 and 6,142.23 is: 8,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.95 : 10,987.25 = 6,142.23 : x
  2. Step 2: Convert to fraction form
    7,965.95/10,987.25 = 6,142.23/x
  3. Step 3: Cross multiply
    7,965.95x = 10,987.25 × 6,142.23
  4. Step 4: Simplify right side
    7,965.95x = 67,486,185.86
  5. Step 5: Solve for x
    x = 67,486,185.86/7,965.95
  6. Step 6: Final answer
    x = 8,471.84

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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.