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Finding the Fourth Proportional to 10,700.76, 16,051.26 and 3,770.40

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Solution

The fourth proportional to 10,700.76, 16,051.26 and 3,770.40 is: 5,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.76 : 16,051.26 = 3,770.40 : x
  2. Step 2: Convert to fraction form
    10,700.76/16,051.26 = 3,770.40/x
  3. Step 3: Cross multiply
    10,700.76x = 16,051.26 × 3,770.40
  4. Step 4: Simplify right side
    10,700.76x = 60,519,670.70
  5. Step 5: Solve for x
    x = 60,519,670.70/10,700.76
  6. Step 6: Final answer
    x = 5,655.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.