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Finding the Fourth Proportional to 10,717.32, 16,056 and 6,321.72

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Solution

The fourth proportional to 10,717.32, 16,056 and 6,321.72 is: 9,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.32 : 16,056 = 6,321.72 : x
  2. Step 2: Convert to fraction form
    10,717.32/16,056 = 6,321.72/x
  3. Step 3: Cross multiply
    10,717.32x = 16,056 × 6,321.72
  4. Step 4: Simplify right side
    10,717.32x = 101,501,536.32
  5. Step 5: Solve for x
    x = 101,501,536.32/10,717.32
  6. Step 6: Final answer
    x = 9,470.79

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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.