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Finding the Fourth Proportional to 11,108.72, 16,643.64 and 6,482

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Solution

The fourth proportional to 11,108.72, 16,643.64 and 6,482 is: 9,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,108.72 : 16,643.64 = 6,482 : x
  2. Step 2: Convert to fraction form
    11,108.72/16,643.64 = 6,482/x
  3. Step 3: Cross multiply
    11,108.72x = 16,643.64 × 6,482
  4. Step 4: Simplify right side
    11,108.72x = 107,884,074.48
  5. Step 5: Solve for x
    x = 107,884,074.48/11,108.72
  6. Step 6: Final answer
    x = 9,711.66

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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.