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Finding the Fourth Proportional to 10,474.75, 14,455.16 and 5,758.93

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Solution

The fourth proportional to 10,474.75, 14,455.16 and 5,758.93 is: 7,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.75 : 14,455.16 = 5,758.93 : x
  2. Step 2: Convert to fraction form
    10,474.75/14,455.16 = 5,758.93/x
  3. Step 3: Cross multiply
    10,474.75x = 14,455.16 × 5,758.93
  4. Step 4: Simplify right side
    10,474.75x = 83,246,254.58
  5. Step 5: Solve for x
    x = 83,246,254.58/10,474.75
  6. Step 6: Final answer
    x = 7,947.33

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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.