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Finding the Fourth Proportional to 10,195.95, 15,292.71 and 2,801.16

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Solution

The fourth proportional to 10,195.95, 15,292.71 and 2,801.16 is: 4,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.95 : 15,292.71 = 2,801.16 : x
  2. Step 2: Convert to fraction form
    10,195.95/15,292.71 = 2,801.16/x
  3. Step 3: Cross multiply
    10,195.95x = 15,292.71 × 2,801.16
  4. Step 4: Simplify right side
    10,195.95x = 42,837,327.54
  5. Step 5: Solve for x
    x = 42,837,327.54/10,195.95
  6. Step 6: Final answer
    x = 4,201.41

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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.