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Finding the Fourth Proportional to 10,135.57, 15,205.79 and 3,210.07

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Solution

The fourth proportional to 10,135.57, 15,205.79 and 3,210.07 is: 4,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.57 : 15,205.79 = 3,210.07 : x
  2. Step 2: Convert to fraction form
    10,135.57/15,205.79 = 3,210.07/x
  3. Step 3: Cross multiply
    10,135.57x = 15,205.79 × 3,210.07
  4. Step 4: Simplify right side
    10,135.57x = 48,811,650.31
  5. Step 5: Solve for x
    x = 48,811,650.31/10,135.57
  6. Step 6: Final answer
    x = 4,815.88

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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.