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Finding the Fourth Proportional to 10,965.32, 16,447.98 and 4,805

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Solution

The fourth proportional to 10,965.32, 16,447.98 and 4,805 is: 7,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.32 : 16,447.98 = 4,805 : x
  2. Step 2: Convert to fraction form
    10,965.32/16,447.98 = 4,805/x
  3. Step 3: Cross multiply
    10,965.32x = 16,447.98 × 4,805
  4. Step 4: Simplify right side
    10,965.32x = 79,032,543.90
  5. Step 5: Solve for x
    x = 79,032,543.90/10,965.32
  6. Step 6: Final answer
    x = 7,207.50

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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.