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Finding the Fourth Proportional to 11,296.94, 15,590.52 and 6,261.38

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Solution

The fourth proportional to 11,296.94, 15,590.52 and 6,261.38 is: 8,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.94 : 15,590.52 = 6,261.38 : x
  2. Step 2: Convert to fraction form
    11,296.94/15,590.52 = 6,261.38/x
  3. Step 3: Cross multiply
    11,296.94x = 15,590.52 × 6,261.38
  4. Step 4: Simplify right side
    11,296.94x = 97,618,170.12
  5. Step 5: Solve for x
    x = 97,618,170.12/11,296.94
  6. Step 6: Final answer
    x = 8,641.12

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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.