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Finding the Fourth Proportional to 10,699.35, 14,764.82 and 5,919.17

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Solution

The fourth proportional to 10,699.35, 14,764.82 and 5,919.17 is: 8,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.35 : 14,764.82 = 5,919.17 : x
  2. Step 2: Convert to fraction form
    10,699.35/14,764.82 = 5,919.17/x
  3. Step 3: Cross multiply
    10,699.35x = 14,764.82 × 5,919.17
  4. Step 4: Simplify right side
    10,699.35x = 87,395,405.78
  5. Step 5: Solve for x
    x = 87,395,405.78/10,699.35
  6. Step 6: Final answer
    x = 8,168.29

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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.