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Finding the Fourth Proportional to 10,412.91, 15,618.92 and 3,017.21

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Solution

The fourth proportional to 10,412.91, 15,618.92 and 3,017.21 is: 4,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.91 : 15,618.92 = 3,017.21 : x
  2. Step 2: Convert to fraction form
    10,412.91/15,618.92 = 3,017.21/x
  3. Step 3: Cross multiply
    10,412.91x = 15,618.92 × 3,017.21
  4. Step 4: Simplify right side
    10,412.91x = 47,125,468.43
  5. Step 5: Solve for x
    x = 47,125,468.43/10,412.91
  6. Step 6: Final answer
    x = 4,525.68

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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.