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Finding the Fourth Proportional to 8,132.10, 11,221.65 and 4,774.65

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Solution

The fourth proportional to 8,132.10, 11,221.65 and 4,774.65 is: 6,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.10 : 11,221.65 = 4,774.65 : x
  2. Step 2: Convert to fraction form
    8,132.10/11,221.65 = 4,774.65/x
  3. Step 3: Cross multiply
    8,132.10x = 11,221.65 × 4,774.65
  4. Step 4: Simplify right side
    8,132.10x = 53,579,451.17
  5. Step 5: Solve for x
    x = 53,579,451.17/8,132.10
  6. Step 6: Final answer
    x = 6,588.64

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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.