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Finding the Fourth Proportional to 10,752.98, 16,111.27 and 6,584.28

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Solution

The fourth proportional to 10,752.98, 16,111.27 and 6,584.28 is: 9,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.98 : 16,111.27 = 6,584.28 : x
  2. Step 2: Convert to fraction form
    10,752.98/16,111.27 = 6,584.28/x
  3. Step 3: Cross multiply
    10,752.98x = 16,111.27 × 6,584.28
  4. Step 4: Simplify right side
    10,752.98x = 106,081,114.24
  5. Step 5: Solve for x
    x = 106,081,114.24/10,752.98
  6. Step 6: Final answer
    x = 9,865.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.