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Finding the Fourth Proportional to 11,864.52, 17,802 and 6,316.56

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Solution

The fourth proportional to 11,864.52, 17,802 and 6,316.56 is: 9,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.52 : 17,802 = 6,316.56 : x
  2. Step 2: Convert to fraction form
    11,864.52/17,802 = 6,316.56/x
  3. Step 3: Cross multiply
    11,864.52x = 17,802 × 6,316.56
  4. Step 4: Simplify right side
    11,864.52x = 112,447,401.12
  5. Step 5: Solve for x
    x = 112,447,401.12/11,864.52
  6. Step 6: Final answer
    x = 9,477.62

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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.