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Finding the Fourth Proportional to 10,474.84, 14,455.38 and 5,759.02

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Solution

The fourth proportional to 10,474.84, 14,455.38 and 5,759.02 is: 7,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.84 : 14,455.38 = 5,759.02 : x
  2. Step 2: Convert to fraction form
    10,474.84/14,455.38 = 5,759.02/x
  3. Step 3: Cross multiply
    10,474.84x = 14,455.38 × 5,759.02
  4. Step 4: Simplify right side
    10,474.84x = 83,248,822.53
  5. Step 5: Solve for x
    x = 83,248,822.53/10,474.84
  6. Step 6: Final answer
    x = 7,947.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.