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Finding the Fourth Proportional to 10,475.25, 14,455.86 and 5,759.43

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Solution

The fourth proportional to 10,475.25, 14,455.86 and 5,759.43 is: 7,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.25 : 14,455.86 = 5,759.43 : x
  2. Step 2: Convert to fraction form
    10,475.25/14,455.86 = 5,759.43/x
  3. Step 3: Cross multiply
    10,475.25x = 14,455.86 × 5,759.43
  4. Step 4: Simplify right side
    10,475.25x = 83,257,513.76
  5. Step 5: Solve for x
    x = 83,257,513.76/10,475.25
  6. Step 6: Final answer
    x = 7,948.02

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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.