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Finding the Fourth Proportional to 31,240.38, 46,860.52 and 7,866.82

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Solution

The fourth proportional to 31,240.38, 46,860.52 and 7,866.82 is: 11,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.38 : 46,860.52 = 7,866.82 : x
  2. Step 2: Convert to fraction form
    31,240.38/46,860.52 = 7,866.82/x
  3. Step 3: Cross multiply
    31,240.38x = 46,860.52 × 7,866.82
  4. Step 4: Simplify right side
    31,240.38x = 368,643,275.95
  5. Step 5: Solve for x
    x = 368,643,275.95/31,240.38
  6. Step 6: Final answer
    x = 11,800.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.