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Finding the Fourth Proportional to 7,757.37, 10,710.23 and 5,109.28

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Solution

The fourth proportional to 7,757.37, 10,710.23 and 5,109.28 is: 7,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.37 : 10,710.23 = 5,109.28 : x
  2. Step 2: Convert to fraction form
    7,757.37/10,710.23 = 5,109.28/x
  3. Step 3: Cross multiply
    7,757.37x = 10,710.23 × 5,109.28
  4. Step 4: Simplify right side
    7,757.37x = 54,721,511.61
  5. Step 5: Solve for x
    x = 54,721,511.61/7,757.37
  6. Step 6: Final answer
    x = 7,054.13

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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.