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Finding the Fourth Proportional to 10,298.25, 15,447.36 and 8,907.44

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Solution

The fourth proportional to 10,298.25, 15,447.36 and 8,907.44 is: 13,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.25 : 15,447.36 = 8,907.44 : x
  2. Step 2: Convert to fraction form
    10,298.25/15,447.36 = 8,907.44/x
  3. Step 3: Cross multiply
    10,298.25x = 15,447.36 × 8,907.44
  4. Step 4: Simplify right side
    10,298.25x = 137,596,470.98
  5. Step 5: Solve for x
    x = 137,596,470.98/10,298.25
  6. Step 6: Final answer
    x = 13,361.15

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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.