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Finding the Fourth Proportional to 7,165.57, 9,887.15 and 4,180.66

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Solution

The fourth proportional to 7,165.57, 9,887.15 and 4,180.66 is: 5,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.57 : 9,887.15 = 4,180.66 : x
  2. Step 2: Convert to fraction form
    7,165.57/9,887.15 = 4,180.66/x
  3. Step 3: Cross multiply
    7,165.57x = 9,887.15 × 4,180.66
  4. Step 4: Simplify right side
    7,165.57x = 41,334,812.52
  5. Step 5: Solve for x
    x = 41,334,812.52/7,165.57
  6. Step 6: Final answer
    x = 5,768.53

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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.