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Finding the Fourth Proportional to 8,310.85, 11,467.83 and 4,774.06

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Solution

The fourth proportional to 8,310.85, 11,467.83 and 4,774.06 is: 6,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.85 : 11,467.83 = 4,774.06 : x
  2. Step 2: Convert to fraction form
    8,310.85/11,467.83 = 4,774.06/x
  3. Step 3: Cross multiply
    8,310.85x = 11,467.83 × 4,774.06
  4. Step 4: Simplify right side
    8,310.85x = 54,748,097.72
  5. Step 5: Solve for x
    x = 54,748,097.72/8,310.85
  6. Step 6: Final answer
    x = 6,587.55

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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.