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Finding the Fourth Proportional to 10,474.76, 14,455.32 and 5,759

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Solution

The fourth proportional to 10,474.76, 14,455.32 and 5,759 is: 7,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.76 : 14,455.32 = 5,759 : x
  2. Step 2: Convert to fraction form
    10,474.76/14,455.32 = 5,759/x
  3. Step 3: Cross multiply
    10,474.76x = 14,455.32 × 5,759
  4. Step 4: Simplify right side
    10,474.76x = 83,248,187.88
  5. Step 5: Solve for x
    x = 83,248,187.88/10,474.76
  6. Step 6: Final answer
    x = 7,947.50

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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.