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Finding the Fourth Proportional to 10,023.42, 15,035.22 and 3,097.92

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Solution

The fourth proportional to 10,023.42, 15,035.22 and 3,097.92 is: 4,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.42 : 15,035.22 = 3,097.92 : x
  2. Step 2: Convert to fraction form
    10,023.42/15,035.22 = 3,097.92/x
  3. Step 3: Cross multiply
    10,023.42x = 15,035.22 × 3,097.92
  4. Step 4: Simplify right side
    10,023.42x = 46,577,908.74
  5. Step 5: Solve for x
    x = 46,577,908.74/10,023.42
  6. Step 6: Final answer
    x = 4,646.91

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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.