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Finding the Fourth Proportional to 8,308.40, 11,471.08 and 5,325.60

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Solution

The fourth proportional to 8,308.40, 11,471.08 and 5,325.60 is: 7,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.40 : 11,471.08 = 5,325.60 : x
  2. Step 2: Convert to fraction form
    8,308.40/11,471.08 = 5,325.60/x
  3. Step 3: Cross multiply
    8,308.40x = 11,471.08 × 5,325.60
  4. Step 4: Simplify right side
    8,308.40x = 61,090,383.65
  5. Step 5: Solve for x
    x = 61,090,383.65/8,308.40
  6. Step 6: Final answer
    x = 7,352.85

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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.