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Finding the Fourth Proportional to 8,310.30, 11,468.07 and 4,533.47

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Solution

The fourth proportional to 8,310.30, 11,468.07 and 4,533.47 is: 6,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.30 : 11,468.07 = 4,533.47 : x
  2. Step 2: Convert to fraction form
    8,310.30/11,468.07 = 4,533.47/x
  3. Step 3: Cross multiply
    8,310.30x = 11,468.07 × 4,533.47
  4. Step 4: Simplify right side
    8,310.30x = 51,990,151.30
  5. Step 5: Solve for x
    x = 51,990,151.30/8,310.30
  6. Step 6: Final answer
    x = 6,256.11

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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.