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Finding the Fourth Proportional to 10,421.42, 15,632.22 and 3,495.92

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Solution

The fourth proportional to 10,421.42, 15,632.22 and 3,495.92 is: 5,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.42 : 15,632.22 = 3,495.92 : x
  2. Step 2: Convert to fraction form
    10,421.42/15,632.22 = 3,495.92/x
  3. Step 3: Cross multiply
    10,421.42x = 15,632.22 × 3,495.92
  4. Step 4: Simplify right side
    10,421.42x = 54,648,990.54
  5. Step 5: Solve for x
    x = 54,648,990.54/10,421.42
  6. Step 6: Final answer
    x = 5,243.91

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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.