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Finding the Fourth Proportional to 10,365.97, 15,535.95 and 8,166.01

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Solution

The fourth proportional to 10,365.97, 15,535.95 and 8,166.01 is: 12,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.97 : 15,535.95 = 8,166.01 : x
  2. Step 2: Convert to fraction form
    10,365.97/15,535.95 = 8,166.01/x
  3. Step 3: Cross multiply
    10,365.97x = 15,535.95 × 8,166.01
  4. Step 4: Simplify right side
    10,365.97x = 126,866,723.06
  5. Step 5: Solve for x
    x = 126,866,723.06/10,365.97
  6. Step 6: Final answer
    x = 12,238.77

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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.