Home / 11,627.52-17,447.04-5,784

Finding the Fourth Proportional to 11,627.52, 17,447.04 and 5,784

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Solution

The fourth proportional to 11,627.52, 17,447.04 and 5,784 is: 8,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.52 : 17,447.04 = 5,784 : x
  2. Step 2: Convert to fraction form
    11,627.52/17,447.04 = 5,784/x
  3. Step 3: Cross multiply
    11,627.52x = 17,447.04 × 5,784
  4. Step 4: Simplify right side
    11,627.52x = 100,913,679.36
  5. Step 5: Solve for x
    x = 100,913,679.36/11,627.52
  6. Step 6: Final answer
    x = 8,678.87

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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.