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Finding the Fourth Proportional to 6,887.34, 10,317.14 and 3,184.47

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Solution

The fourth proportional to 6,887.34, 10,317.14 and 3,184.47 is: 4,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.34 : 10,317.14 = 3,184.47 : x
  2. Step 2: Convert to fraction form
    6,887.34/10,317.14 = 3,184.47/x
  3. Step 3: Cross multiply
    6,887.34x = 10,317.14 × 3,184.47
  4. Step 4: Simplify right side
    6,887.34x = 32,854,622.82
  5. Step 5: Solve for x
    x = 32,854,622.82/6,887.34
  6. Step 6: Final answer
    x = 4,770.29

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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.