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Finding the Fourth Proportional to 10,441.85, 15,644.52 and 8,698.05

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Solution

The fourth proportional to 10,441.85, 15,644.52 and 8,698.05 is: 13,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.85 : 15,644.52 = 8,698.05 : x
  2. Step 2: Convert to fraction form
    10,441.85/15,644.52 = 8,698.05/x
  3. Step 3: Cross multiply
    10,441.85x = 15,644.52 × 8,698.05
  4. Step 4: Simplify right side
    10,441.85x = 136,076,817.19
  5. Step 5: Solve for x
    x = 136,076,817.19/10,441.85
  6. Step 6: Final answer
    x = 13,031.87

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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.