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Finding the Fourth Proportional to 10,097.91, 15,147.60 and 3,078.53

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Solution

The fourth proportional to 10,097.91, 15,147.60 and 3,078.53 is: 4,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.91 : 15,147.60 = 3,078.53 : x
  2. Step 2: Convert to fraction form
    10,097.91/15,147.60 = 3,078.53/x
  3. Step 3: Cross multiply
    10,097.91x = 15,147.60 × 3,078.53
  4. Step 4: Simplify right side
    10,097.91x = 46,632,265.29
  5. Step 5: Solve for x
    x = 46,632,265.29/10,097.91
  6. Step 6: Final answer
    x = 4,618.01

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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.