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Finding the Fourth Proportional to 10,698.68, 14,764.29 and 5,983.22

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Solution

The fourth proportional to 10,698.68, 14,764.29 and 5,983.22 is: 8,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.68 : 14,764.29 = 5,983.22 : x
  2. Step 2: Convert to fraction form
    10,698.68/14,764.29 = 5,983.22/x
  3. Step 3: Cross multiply
    10,698.68x = 14,764.29 × 5,983.22
  4. Step 4: Simplify right side
    10,698.68x = 88,337,995.21
  5. Step 5: Solve for x
    x = 88,337,995.21/10,698.68
  6. Step 6: Final answer
    x = 8,256.91

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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.