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Finding the Fourth Proportional to 11,410, 17,117.88 and 3,202

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Solution

The fourth proportional to 11,410, 17,117.88 and 3,202 is: 4,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410 : 17,117.88 = 3,202 : x
  2. Step 2: Convert to fraction form
    11,410/17,117.88 = 3,202/x
  3. Step 3: Cross multiply
    11,410x = 17,117.88 × 3,202
  4. Step 4: Simplify right side
    11,410x = 54,811,451.76
  5. Step 5: Solve for x
    x = 54,811,451.76/11,410
  6. Step 6: Final answer
    x = 4,803.81

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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.