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Finding the Fourth Proportional to 11,282.88, 15,567.75 and 6,567.33

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Solution

The fourth proportional to 11,282.88, 15,567.75 and 6,567.33 is: 9,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.88 : 15,567.75 = 6,567.33 : x
  2. Step 2: Convert to fraction form
    11,282.88/15,567.75 = 6,567.33/x
  3. Step 3: Cross multiply
    11,282.88x = 15,567.75 × 6,567.33
  4. Step 4: Simplify right side
    11,282.88x = 102,238,551.61
  5. Step 5: Solve for x
    x = 102,238,551.61/11,282.88
  6. Step 6: Final answer
    x = 9,061.39

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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.