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Finding the Fourth Proportional to 10,674.83, 14,726.26 and 6,899.18

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Solution

The fourth proportional to 10,674.83, 14,726.26 and 6,899.18 is: 9,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.83 : 14,726.26 = 6,899.18 : x
  2. Step 2: Convert to fraction form
    10,674.83/14,726.26 = 6,899.18/x
  3. Step 3: Cross multiply
    10,674.83x = 14,726.26 × 6,899.18
  4. Step 4: Simplify right side
    10,674.83x = 101,599,118.47
  5. Step 5: Solve for x
    x = 101,599,118.47/10,674.83
  6. Step 6: Final answer
    x = 9,517.63

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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.