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Finding the Fourth Proportional to 10,149.66, 15,215.10 and 3,907.80

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Solution

The fourth proportional to 10,149.66, 15,215.10 and 3,907.80 is: 5,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.66 : 15,215.10 = 3,907.80 : x
  2. Step 2: Convert to fraction form
    10,149.66/15,215.10 = 3,907.80/x
  3. Step 3: Cross multiply
    10,149.66x = 15,215.10 × 3,907.80
  4. Step 4: Simplify right side
    10,149.66x = 59,457,567.78
  5. Step 5: Solve for x
    x = 59,457,567.78/10,149.66
  6. Step 6: Final answer
    x = 5,858.08

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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.