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Finding the Fourth Proportional to 10,017.96, 13,824.87 and 5,541.86

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Solution

The fourth proportional to 10,017.96, 13,824.87 and 5,541.86 is: 7,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.96 : 13,824.87 = 5,541.86 : x
  2. Step 2: Convert to fraction form
    10,017.96/13,824.87 = 5,541.86/x
  3. Step 3: Cross multiply
    10,017.96x = 13,824.87 × 5,541.86
  4. Step 4: Simplify right side
    10,017.96x = 76,615,424.93
  5. Step 5: Solve for x
    x = 76,615,424.93/10,017.96
  6. Step 6: Final answer
    x = 7,647.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.