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Finding the Fourth Proportional to 8,143.39, 11,238.02 and 4,417.39

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Solution

The fourth proportional to 8,143.39, 11,238.02 and 4,417.39 is: 6,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.39 : 11,238.02 = 4,417.39 : x
  2. Step 2: Convert to fraction form
    8,143.39/11,238.02 = 4,417.39/x
  3. Step 3: Cross multiply
    8,143.39x = 11,238.02 × 4,417.39
  4. Step 4: Simplify right side
    8,143.39x = 49,642,717.17
  5. Step 5: Solve for x
    x = 49,642,717.17/8,143.39
  6. Step 6: Final answer
    x = 6,096.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.