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Finding the Fourth Proportional to 11,921.58, 17,881.58 and 4,899.78

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Solution

The fourth proportional to 11,921.58, 17,881.58 and 4,899.78 is: 7,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.58 : 17,881.58 = 4,899.78 : x
  2. Step 2: Convert to fraction form
    11,921.58/17,881.58 = 4,899.78/x
  3. Step 3: Cross multiply
    11,921.58x = 17,881.58 × 4,899.78
  4. Step 4: Simplify right side
    11,921.58x = 87,615,808.05
  5. Step 5: Solve for x
    x = 87,615,808.05/11,921.58
  6. Step 6: Final answer
    x = 7,349.35

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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.