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Finding the Fourth Proportional to 10,474.50, 14,454.84 and 5,758.82

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Solution

The fourth proportional to 10,474.50, 14,454.84 and 5,758.82 is: 7,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.50 : 14,454.84 = 5,758.82 : x
  2. Step 2: Convert to fraction form
    10,474.50/14,454.84 = 5,758.82/x
  3. Step 3: Cross multiply
    10,474.50x = 14,454.84 × 5,758.82
  4. Step 4: Simplify right side
    10,474.50x = 83,242,749.41
  5. Step 5: Solve for x
    x = 83,242,749.41/10,474.50
  6. Step 6: Final answer
    x = 7,947.18

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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.