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Finding the Fourth Proportional to 10,288.90, 14,188.74 and 8,695.59

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Solution

The fourth proportional to 10,288.90, 14,188.74 and 8,695.59 is: 11,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.90 : 14,188.74 = 8,695.59 : x
  2. Step 2: Convert to fraction form
    10,288.90/14,188.74 = 8,695.59/x
  3. Step 3: Cross multiply
    10,288.90x = 14,188.74 × 8,695.59
  4. Step 4: Simplify right side
    10,288.90x = 123,379,465.66
  5. Step 5: Solve for x
    x = 123,379,465.66/10,288.90
  6. Step 6: Final answer
    x = 11,991.51

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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.