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Finding the Fourth Proportional to 7,862.66, 10,850.74 and 4,326.02

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Solution

The fourth proportional to 7,862.66, 10,850.74 and 4,326.02 is: 5,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.66 : 10,850.74 = 4,326.02 : x
  2. Step 2: Convert to fraction form
    7,862.66/10,850.74 = 4,326.02/x
  3. Step 3: Cross multiply
    7,862.66x = 10,850.74 × 4,326.02
  4. Step 4: Simplify right side
    7,862.66x = 46,940,518.25
  5. Step 5: Solve for x
    x = 46,940,518.25/7,862.66
  6. Step 6: Final answer
    x = 5,970.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.