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Finding the Fourth Proportional to 10,474.82, 14,455.24 and 5,759.10

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Solution

The fourth proportional to 10,474.82, 14,455.24 and 5,759.10 is: 7,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.82 : 14,455.24 = 5,759.10 : x
  2. Step 2: Convert to fraction form
    10,474.82/14,455.24 = 5,759.10/x
  3. Step 3: Cross multiply
    10,474.82x = 14,455.24 × 5,759.10
  4. Step 4: Simplify right side
    10,474.82x = 83,249,100.41
  5. Step 5: Solve for x
    x = 83,249,100.41/10,474.82
  6. Step 6: Final answer
    x = 7,947.55

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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.