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Finding the Fourth Proportional to 10,206.52, 15,309.87 and 2,810.82

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Solution

The fourth proportional to 10,206.52, 15,309.87 and 2,810.82 is: 4,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.52 : 15,309.87 = 2,810.82 : x
  2. Step 2: Convert to fraction form
    10,206.52/15,309.87 = 2,810.82/x
  3. Step 3: Cross multiply
    10,206.52x = 15,309.87 × 2,810.82
  4. Step 4: Simplify right side
    10,206.52x = 43,033,288.79
  5. Step 5: Solve for x
    x = 43,033,288.79/10,206.52
  6. Step 6: Final answer
    x = 4,216.25

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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.