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Finding the Fourth Proportional to 7,115.58, 9,816.69 and 4,462.02

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Solution

The fourth proportional to 7,115.58, 9,816.69 and 4,462.02 is: 6,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.58 : 9,816.69 = 4,462.02 : x
  2. Step 2: Convert to fraction form
    7,115.58/9,816.69 = 4,462.02/x
  3. Step 3: Cross multiply
    7,115.58x = 9,816.69 × 4,462.02
  4. Step 4: Simplify right side
    7,115.58x = 43,802,283.85
  5. Step 5: Solve for x
    x = 43,802,283.85/7,115.58
  6. Step 6: Final answer
    x = 6,155.83

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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.