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Finding the Fourth Proportional to 8,307.22, 11,464.78 and 6,207.70

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Solution

The fourth proportional to 8,307.22, 11,464.78 and 6,207.70 is: 8,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.22 : 11,464.78 = 6,207.70 : x
  2. Step 2: Convert to fraction form
    8,307.22/11,464.78 = 6,207.70/x
  3. Step 3: Cross multiply
    8,307.22x = 11,464.78 × 6,207.70
  4. Step 4: Simplify right side
    8,307.22x = 71,169,914.81
  5. Step 5: Solve for x
    x = 71,169,914.81/8,307.22
  6. Step 6: Final answer
    x = 8,567.24

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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.