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Finding the Fourth Proportional to 7,862.88, 10,850.34 and 4,326.06

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Solution

The fourth proportional to 7,862.88, 10,850.34 and 4,326.06 is: 5,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.88 : 10,850.34 = 4,326.06 : x
  2. Step 2: Convert to fraction form
    7,862.88/10,850.34 = 4,326.06/x
  3. Step 3: Cross multiply
    7,862.88x = 10,850.34 × 4,326.06
  4. Step 4: Simplify right side
    7,862.88x = 46,939,221.86
  5. Step 5: Solve for x
    x = 46,939,221.86/7,862.88
  6. Step 6: Final answer
    x = 5,969.72

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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.