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Finding the Fourth Proportional to 10,348.80, 14,265.48 and 8,106.68

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Solution

The fourth proportional to 10,348.80, 14,265.48 and 8,106.68 is: 11,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.80 : 14,265.48 = 8,106.68 : x
  2. Step 2: Convert to fraction form
    10,348.80/14,265.48 = 8,106.68/x
  3. Step 3: Cross multiply
    10,348.80x = 14,265.48 × 8,106.68
  4. Step 4: Simplify right side
    10,348.80x = 115,645,747.47
  5. Step 5: Solve for x
    x = 115,645,747.47/10,348.80
  6. Step 6: Final answer
    x = 11,174.80

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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.