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Finding the Fourth Proportional to 6,860.25, 10,289.93 and 3,575.21

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Solution

The fourth proportional to 6,860.25, 10,289.93 and 3,575.21 is: 5,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.25 : 10,289.93 = 3,575.21 : x
  2. Step 2: Convert to fraction form
    6,860.25/10,289.93 = 3,575.21/x
  3. Step 3: Cross multiply
    6,860.25x = 10,289.93 × 3,575.21
  4. Step 4: Simplify right side
    6,860.25x = 36,788,591.31
  5. Step 5: Solve for x
    x = 36,788,591.31/6,860.25
  6. Step 6: Final answer
    x = 5,362.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.