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Finding the Fourth Proportional to 7,165.12, 9,887.67 and 3,978.38

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Solution

The fourth proportional to 7,165.12, 9,887.67 and 3,978.38 is: 5,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.12 : 9,887.67 = 3,978.38 : x
  2. Step 2: Convert to fraction form
    7,165.12/9,887.67 = 3,978.38/x
  3. Step 3: Cross multiply
    7,165.12x = 9,887.67 × 3,978.38
  4. Step 4: Simplify right side
    7,165.12x = 39,336,879.18
  5. Step 5: Solve for x
    x = 39,336,879.18/7,165.12
  6. Step 6: Final answer
    x = 5,490.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.