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Finding the Fourth Proportional to 11,307.24, 15,604.94 and 6,273.08

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Solution

The fourth proportional to 11,307.24, 15,604.94 and 6,273.08 is: 8,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.24 : 15,604.94 = 6,273.08 : x
  2. Step 2: Convert to fraction form
    11,307.24/15,604.94 = 6,273.08/x
  3. Step 3: Cross multiply
    11,307.24x = 15,604.94 × 6,273.08
  4. Step 4: Simplify right side
    11,307.24x = 97,891,037.02
  5. Step 5: Solve for x
    x = 97,891,037.02/11,307.24
  6. Step 6: Final answer
    x = 8,657.38

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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.