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Finding the Fourth Proportional to 10,367.90, 15,539.70 and 7,767.80

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Solution

The fourth proportional to 10,367.90, 15,539.70 and 7,767.80 is: 11,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.90 : 15,539.70 = 7,767.80 : x
  2. Step 2: Convert to fraction form
    10,367.90/15,539.70 = 7,767.80/x
  3. Step 3: Cross multiply
    10,367.90x = 15,539.70 × 7,767.80
  4. Step 4: Simplify right side
    10,367.90x = 120,709,281.66
  5. Step 5: Solve for x
    x = 120,709,281.66/10,367.90
  6. Step 6: Final answer
    x = 11,642.60

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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.