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Finding the Fourth Proportional to 7,881.44, 11,822.16 and 2,038.08

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Solution

The fourth proportional to 7,881.44, 11,822.16 and 2,038.08 is: 3,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.44 : 11,822.16 = 2,038.08 : x
  2. Step 2: Convert to fraction form
    7,881.44/11,822.16 = 2,038.08/x
  3. Step 3: Cross multiply
    7,881.44x = 11,822.16 × 2,038.08
  4. Step 4: Simplify right side
    7,881.44x = 24,094,507.85
  5. Step 5: Solve for x
    x = 24,094,507.85/7,881.44
  6. Step 6: Final answer
    x = 3,057.12

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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.