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Finding the Fourth Proportional to 10,137.64, 15,209.40 and 5,210.80

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Solution

The fourth proportional to 10,137.64, 15,209.40 and 5,210.80 is: 7,817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.64 : 15,209.40 = 5,210.80 : x
  2. Step 2: Convert to fraction form
    10,137.64/15,209.40 = 5,210.80/x
  3. Step 3: Cross multiply
    10,137.64x = 15,209.40 × 5,210.80
  4. Step 4: Simplify right side
    10,137.64x = 79,253,141.52
  5. Step 5: Solve for x
    x = 79,253,141.52/10,137.64
  6. Step 6: Final answer
    x = 7,817.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.