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Finding the Fourth Proportional to 7,870.36, 11,801.56 and 3,489.16

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Solution

The fourth proportional to 7,870.36, 11,801.56 and 3,489.16 is: 5,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.36 : 11,801.56 = 3,489.16 : x
  2. Step 2: Convert to fraction form
    7,870.36/11,801.56 = 3,489.16/x
  3. Step 3: Cross multiply
    7,870.36x = 11,801.56 × 3,489.16
  4. Step 4: Simplify right side
    7,870.36x = 41,177,531.09
  5. Step 5: Solve for x
    x = 41,177,531.09/7,870.36
  6. Step 6: Final answer
    x = 5,231.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.