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Finding the Fourth Proportional to 11,279.75, 15,567.66 and 6,565.55

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Solution

The fourth proportional to 11,279.75, 15,567.66 and 6,565.55 is: 9,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,279.75 : 15,567.66 = 6,565.55 : x
  2. Step 2: Convert to fraction form
    11,279.75/15,567.66 = 6,565.55/x
  3. Step 3: Cross multiply
    11,279.75x = 15,567.66 × 6,565.55
  4. Step 4: Simplify right side
    11,279.75x = 102,210,250.11
  5. Step 5: Solve for x
    x = 102,210,250.11/11,279.75
  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.