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Finding the Fourth Proportional to 7,752.84, 10,695.49 and 5,166.37

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Solution

The fourth proportional to 7,752.84, 10,695.49 and 5,166.37 is: 7,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.84 : 10,695.49 = 5,166.37 : x
  2. Step 2: Convert to fraction form
    7,752.84/10,695.49 = 5,166.37/x
  3. Step 3: Cross multiply
    7,752.84x = 10,695.49 × 5,166.37
  4. Step 4: Simplify right side
    7,752.84x = 55,256,858.67
  5. Step 5: Solve for x
    x = 55,256,858.67/7,752.84
  6. Step 6: Final answer
    x = 7,127.31

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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.