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Finding the Fourth Proportional to 7,115.81, 9,817.07 and 4,458.60

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Solution

The fourth proportional to 7,115.81, 9,817.07 and 4,458.60 is: 6,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.81 : 9,817.07 = 4,458.60 : x
  2. Step 2: Convert to fraction form
    7,115.81/9,817.07 = 4,458.60/x
  3. Step 3: Cross multiply
    7,115.81x = 9,817.07 × 4,458.60
  4. Step 4: Simplify right side
    7,115.81x = 43,770,366.01
  5. Step 5: Solve for x
    x = 43,770,366.01/7,115.81
  6. Step 6: Final answer
    x = 6,151.15

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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.