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Finding the Fourth Proportional to 10,235.93, 14,125.62 and 5,759.75

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Solution

The fourth proportional to 10,235.93, 14,125.62 and 5,759.75 is: 7,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.93 : 14,125.62 = 5,759.75 : x
  2. Step 2: Convert to fraction form
    10,235.93/14,125.62 = 5,759.75/x
  3. Step 3: Cross multiply
    10,235.93x = 14,125.62 × 5,759.75
  4. Step 4: Simplify right side
    10,235.93x = 81,360,039.80
  5. Step 5: Solve for x
    x = 81,360,039.80/10,235.93
  6. Step 6: Final answer
    x = 7,948.48

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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.