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Finding the Fourth Proportional to 8,295.40, 11,443.62 and 5,308.84

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Solution

The fourth proportional to 8,295.40, 11,443.62 and 5,308.84 is: 7,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.40 : 11,443.62 = 5,308.84 : x
  2. Step 2: Convert to fraction form
    8,295.40/11,443.62 = 5,308.84/x
  3. Step 3: Cross multiply
    8,295.40x = 11,443.62 × 5,308.84
  4. Step 4: Simplify right side
    8,295.40x = 60,752,347.60
  5. Step 5: Solve for x
    x = 60,752,347.60/8,295.40
  6. Step 6: Final answer
    x = 7,323.62

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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.