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Finding the Fourth Proportional to 11,093.72, 15,308.68 and 6,313

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Solution

The fourth proportional to 11,093.72, 15,308.68 and 6,313 is: 8,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.72 : 15,308.68 = 6,313 : x
  2. Step 2: Convert to fraction form
    11,093.72/15,308.68 = 6,313/x
  3. Step 3: Cross multiply
    11,093.72x = 15,308.68 × 6,313
  4. Step 4: Simplify right side
    11,093.72x = 96,643,696.84
  5. Step 5: Solve for x
    x = 96,643,696.84/11,093.72
  6. Step 6: Final answer
    x = 8,711.57

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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.