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Finding the Fourth Proportional to 10,700.76, 16,051.86 and 3,680.40

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Solution

The fourth proportional to 10,700.76, 16,051.86 and 3,680.40 is: 5,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.76 : 16,051.86 = 3,680.40 : x
  2. Step 2: Convert to fraction form
    10,700.76/16,051.86 = 3,680.40/x
  3. Step 3: Cross multiply
    10,700.76x = 16,051.86 × 3,680.40
  4. Step 4: Simplify right side
    10,700.76x = 59,077,265.54
  5. Step 5: Solve for x
    x = 59,077,265.54/10,700.76
  6. Step 6: Final answer
    x = 5,520.85

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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.