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Finding the Fourth Proportional to 7,162.05, 9,883.53 and 4,178.01

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Solution

The fourth proportional to 7,162.05, 9,883.53 and 4,178.01 is: 5,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.05 : 9,883.53 = 4,178.01 : x
  2. Step 2: Convert to fraction form
    7,162.05/9,883.53 = 4,178.01/x
  3. Step 3: Cross multiply
    7,162.05x = 9,883.53 × 4,178.01
  4. Step 4: Simplify right side
    7,162.05x = 41,293,487.18
  5. Step 5: Solve for x
    x = 41,293,487.18/7,162.05
  6. Step 6: Final answer
    x = 5,765.60

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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.