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Finding the Fourth Proportional to 10,474.74, 14,455.72 and 5,760

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Solution

The fourth proportional to 10,474.74, 14,455.72 and 5,760 is: 7,949.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.74 : 14,455.72 = 5,760 : x
  2. Step 2: Convert to fraction form
    10,474.74/14,455.72 = 5,760/x
  3. Step 3: Cross multiply
    10,474.74x = 14,455.72 × 5,760
  4. Step 4: Simplify right side
    10,474.74x = 83,264,947.20
  5. Step 5: Solve for x
    x = 83,264,947.20/10,474.74
  6. Step 6: Final answer
    x = 7,949.12

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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.