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Finding the Fourth Proportional to 10,097.88, 15,150.15 and 3,078.18

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Solution

The fourth proportional to 10,097.88, 15,150.15 and 3,078.18 is: 4,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.88 : 15,150.15 = 3,078.18 : x
  2. Step 2: Convert to fraction form
    10,097.88/15,150.15 = 3,078.18/x
  3. Step 3: Cross multiply
    10,097.88x = 15,150.15 × 3,078.18
  4. Step 4: Simplify right side
    10,097.88x = 46,634,888.73
  5. Step 5: Solve for x
    x = 46,634,888.73/10,097.88
  6. Step 6: Final answer
    x = 4,618.29

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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.