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Finding the Fourth Proportional to 10,537.20, 14,578.20 and 10,306.80

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Solution

The fourth proportional to 10,537.20, 14,578.20 and 10,306.80 is: 14,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.20 : 14,578.20 = 10,306.80 : x
  2. Step 2: Convert to fraction form
    10,537.20/14,578.20 = 10,306.80/x
  3. Step 3: Cross multiply
    10,537.20x = 14,578.20 × 10,306.80
  4. Step 4: Simplify right side
    10,537.20x = 150,254,591.76
  5. Step 5: Solve for x
    x = 150,254,591.76/10,537.20
  6. Step 6: Final answer
    x = 14,259.44

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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.