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Finding the Fourth Proportional to 11,223.42, 15,486.54 and 6,506.82

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Solution

The fourth proportional to 11,223.42, 15,486.54 and 6,506.82 is: 8,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.42 : 15,486.54 = 6,506.82 : x
  2. Step 2: Convert to fraction form
    11,223.42/15,486.54 = 6,506.82/x
  3. Step 3: Cross multiply
    11,223.42x = 15,486.54 × 6,506.82
  4. Step 4: Simplify right side
    11,223.42x = 100,768,128.20
  5. Step 5: Solve for x
    x = 100,768,128.20/11,223.42
  6. Step 6: Final answer
    x = 8,978.38

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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.