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Finding the Fourth Proportional to 10,205.52, 15,309.11 and 2,810.58

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Solution

The fourth proportional to 10,205.52, 15,309.11 and 2,810.58 is: 4,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.52 : 15,309.11 = 2,810.58 : x
  2. Step 2: Convert to fraction form
    10,205.52/15,309.11 = 2,810.58/x
  3. Step 3: Cross multiply
    10,205.52x = 15,309.11 × 2,810.58
  4. Step 4: Simplify right side
    10,205.52x = 43,027,478.38
  5. Step 5: Solve for x
    x = 43,027,478.38/10,205.52
  6. Step 6: Final answer
    x = 4,216.10

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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.