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Finding the Fourth Proportional to 7,884.84, 11,827.26 and 2,690.76

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Solution

The fourth proportional to 7,884.84, 11,827.26 and 2,690.76 is: 4,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.84 : 11,827.26 = 2,690.76 : x
  2. Step 2: Convert to fraction form
    7,884.84/11,827.26 = 2,690.76/x
  3. Step 3: Cross multiply
    7,884.84x = 11,827.26 × 2,690.76
  4. Step 4: Simplify right side
    7,884.84x = 31,824,318.12
  5. Step 5: Solve for x
    x = 31,824,318.12/7,884.84
  6. Step 6: Final answer
    x = 4,036.14

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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.