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Finding the Fourth Proportional to 8,370.80, 11,546.76 and 5,385.68

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Solution

The fourth proportional to 8,370.80, 11,546.76 and 5,385.68 is: 7,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.80 : 11,546.76 = 5,385.68 : x
  2. Step 2: Convert to fraction form
    8,370.80/11,546.76 = 5,385.68/x
  3. Step 3: Cross multiply
    8,370.80x = 11,546.76 × 5,385.68
  4. Step 4: Simplify right side
    8,370.80x = 62,187,154.40
  5. Step 5: Solve for x
    x = 62,187,154.40/8,370.80
  6. Step 6: Final answer
    x = 7,429.06

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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.