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Finding the Fourth Proportional to 11,297.39, 15,590.42 and 6,261.69

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Solution

The fourth proportional to 11,297.39, 15,590.42 and 6,261.69 is: 8,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.39 : 15,590.42 = 6,261.69 : x
  2. Step 2: Convert to fraction form
    11,297.39/15,590.42 = 6,261.69/x
  3. Step 3: Cross multiply
    11,297.39x = 15,590.42 × 6,261.69
  4. Step 4: Simplify right side
    11,297.39x = 97,622,345.70
  5. Step 5: Solve for x
    x = 97,622,345.70/11,297.39
  6. Step 6: Final answer
    x = 8,641.15

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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.