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Finding the Fourth Proportional to 11,374.84, 17,078.07 and 5,832.01

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Solution

The fourth proportional to 11,374.84, 17,078.07 and 5,832.01 is: 8,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.84 : 17,078.07 = 5,832.01 : x
  2. Step 2: Convert to fraction form
    11,374.84/17,078.07 = 5,832.01/x
  3. Step 3: Cross multiply
    11,374.84x = 17,078.07 × 5,832.01
  4. Step 4: Simplify right side
    11,374.84x = 99,599,475.02
  5. Step 5: Solve for x
    x = 99,599,475.02/11,374.84
  6. Step 6: Final answer
    x = 8,756.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.