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Finding the Fourth Proportional to 8,307.86, 11,464.82 and 4,530.96

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Solution

The fourth proportional to 8,307.86, 11,464.82 and 4,530.96 is: 6,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.86 : 11,464.82 = 4,530.96 : x
  2. Step 2: Convert to fraction form
    8,307.86/11,464.82 = 4,530.96/x
  3. Step 3: Cross multiply
    8,307.86x = 11,464.82 × 4,530.96
  4. Step 4: Simplify right side
    8,307.86x = 51,946,618.17
  5. Step 5: Solve for x
    x = 51,946,618.17/8,307.86
  6. Step 6: Final answer
    x = 6,252.71

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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.