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Finding the Fourth Proportional to 7,881.84, 11,823.12 and 2,039.04

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Solution

The fourth proportional to 7,881.84, 11,823.12 and 2,039.04 is: 3,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.84 : 11,823.12 = 2,039.04 : x
  2. Step 2: Convert to fraction form
    7,881.84/11,823.12 = 2,039.04/x
  3. Step 3: Cross multiply
    7,881.84x = 11,823.12 × 2,039.04
  4. Step 4: Simplify right side
    7,881.84x = 24,107,814.60
  5. Step 5: Solve for x
    x = 24,107,814.60/7,881.84
  6. Step 6: Final answer
    x = 3,058.65

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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.