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Finding the Fourth Proportional to 10,605.25, 15,907.88 and 2,814.13

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Solution

The fourth proportional to 10,605.25, 15,907.88 and 2,814.13 is: 4,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.25 : 15,907.88 = 2,814.13 : x
  2. Step 2: Convert to fraction form
    10,605.25/15,907.88 = 2,814.13/x
  3. Step 3: Cross multiply
    10,605.25x = 15,907.88 × 2,814.13
  4. Step 4: Simplify right side
    10,605.25x = 44,766,842.34
  5. Step 5: Solve for x
    x = 44,766,842.34/10,605.25
  6. Step 6: Final answer
    x = 4,221.20

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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.