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Finding the Fourth Proportional to 10,474.77, 14,455.23 and 5,759.35

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Solution

The fourth proportional to 10,474.77, 14,455.23 and 5,759.35 is: 7,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.77 : 14,455.23 = 5,759.35 : x
  2. Step 2: Convert to fraction form
    10,474.77/14,455.23 = 5,759.35/x
  3. Step 3: Cross multiply
    10,474.77x = 14,455.23 × 5,759.35
  4. Step 4: Simplify right side
    10,474.77x = 83,252,728.90
  5. Step 5: Solve for x
    x = 83,252,728.90/10,474.77
  6. Step 6: Final answer
    x = 7,947.93

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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.