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Finding the Fourth Proportional to 7,115.06, 9,822.44 and 4,465.15

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Solution

The fourth proportional to 7,115.06, 9,822.44 and 4,465.15 is: 6,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.06 : 9,822.44 = 4,465.15 : x
  2. Step 2: Convert to fraction form
    7,115.06/9,822.44 = 4,465.15/x
  3. Step 3: Cross multiply
    7,115.06x = 9,822.44 × 4,465.15
  4. Step 4: Simplify right side
    7,115.06x = 43,858,654.57
  5. Step 5: Solve for x
    x = 43,858,654.57/7,115.06
  6. Step 6: Final answer
    x = 6,164.20

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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.