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Finding the Fourth Proportional to 8,309.52, 11,468.35 and 5,476.43

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Solution

The fourth proportional to 8,309.52, 11,468.35 and 5,476.43 is: 7,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.52 : 11,468.35 = 5,476.43 : x
  2. Step 2: Convert to fraction form
    8,309.52/11,468.35 = 5,476.43/x
  3. Step 3: Cross multiply
    8,309.52x = 11,468.35 × 5,476.43
  4. Step 4: Simplify right side
    8,309.52x = 62,805,573.63
  5. Step 5: Solve for x
    x = 62,805,573.63/8,309.52
  6. Step 6: Final answer
    x = 7,558.27

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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.