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Finding the Fourth Proportional to 11,498.38, 15,867.77 and 6,530.38

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Solution

The fourth proportional to 11,498.38, 15,867.77 and 6,530.38 is: 9,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.38 : 15,867.77 = 6,530.38 : x
  2. Step 2: Convert to fraction form
    11,498.38/15,867.77 = 6,530.38/x
  3. Step 3: Cross multiply
    11,498.38x = 15,867.77 × 6,530.38
  4. Step 4: Simplify right side
    11,498.38x = 103,622,504.84
  5. Step 5: Solve for x
    x = 103,622,504.84/11,498.38
  6. Step 6: Final answer
    x = 9,011.93

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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.