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Finding the Fourth Proportional to 10,443.02, 15,665.20 and 3,421.16

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Solution

The fourth proportional to 10,443.02, 15,665.20 and 3,421.16 is: 5,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.02 : 15,665.20 = 3,421.16 : x
  2. Step 2: Convert to fraction form
    10,443.02/15,665.20 = 3,421.16/x
  3. Step 3: Cross multiply
    10,443.02x = 15,665.20 × 3,421.16
  4. Step 4: Simplify right side
    10,443.02x = 53,593,155.63
  5. Step 5: Solve for x
    x = 53,593,155.63/10,443.02
  6. Step 6: Final answer
    x = 5,131.96

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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.