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Finding the Fourth Proportional to 11,296.32, 15,589.01 and 6,260.63

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Solution

The fourth proportional to 11,296.32, 15,589.01 and 6,260.63 is: 8,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.32 : 15,589.01 = 6,260.63 : x
  2. Step 2: Convert to fraction form
    11,296.32/15,589.01 = 6,260.63/x
  3. Step 3: Cross multiply
    11,296.32x = 15,589.01 × 6,260.63
  4. Step 4: Simplify right side
    11,296.32x = 97,596,961.38
  5. Step 5: Solve for x
    x = 97,596,961.38/11,296.32
  6. Step 6: Final answer
    x = 8,639.71

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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.