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Finding the Fourth Proportional to 11,391.68, 15,720.72 and 6,356

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Solution

The fourth proportional to 11,391.68, 15,720.72 and 6,356 is: 8,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.68 : 15,720.72 = 6,356 : x
  2. Step 2: Convert to fraction form
    11,391.68/15,720.72 = 6,356/x
  3. Step 3: Cross multiply
    11,391.68x = 15,720.72 × 6,356
  4. Step 4: Simplify right side
    11,391.68x = 99,920,896.32
  5. Step 5: Solve for x
    x = 99,920,896.32/11,391.68
  6. Step 6: Final answer
    x = 8,771.39

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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.