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Finding the Fourth Proportional to 10,463.77, 15,693.91 and 3,443.86

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Solution

The fourth proportional to 10,463.77, 15,693.91 and 3,443.86 is: 5,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.77 : 15,693.91 = 3,443.86 : x
  2. Step 2: Convert to fraction form
    10,463.77/15,693.91 = 3,443.86/x
  3. Step 3: Cross multiply
    10,463.77x = 15,693.91 × 3,443.86
  4. Step 4: Simplify right side
    10,463.77x = 54,047,581.05
  5. Step 5: Solve for x
    x = 54,047,581.05/10,463.77
  6. Step 6: Final answer
    x = 5,165.21

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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.