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Finding the Fourth Proportional to 8,514.76, 11,747.62 and 5,533

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Solution

The fourth proportional to 8,514.76, 11,747.62 and 5,533 is: 7,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.76 : 11,747.62 = 5,533 : x
  2. Step 2: Convert to fraction form
    8,514.76/11,747.62 = 5,533/x
  3. Step 3: Cross multiply
    8,514.76x = 11,747.62 × 5,533
  4. Step 4: Simplify right side
    8,514.76x = 64,999,581.46
  5. Step 5: Solve for x
    x = 64,999,581.46/8,514.76
  6. Step 6: Final answer
    x = 7,633.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.