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Finding the Fourth Proportional to 10,770.99, 16,157.64 and 4,531.63

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Solution

The fourth proportional to 10,770.99, 16,157.64 and 4,531.63 is: 6,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.99 : 16,157.64 = 4,531.63 : x
  2. Step 2: Convert to fraction form
    10,770.99/16,157.64 = 4,531.63/x
  3. Step 3: Cross multiply
    10,770.99x = 16,157.64 × 4,531.63
  4. Step 4: Simplify right side
    10,770.99x = 73,220,423.50
  5. Step 5: Solve for x
    x = 73,220,423.50/10,770.99
  6. Step 6: Final answer
    x = 6,797.93

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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.