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Finding the Fourth Proportional to 7,055.76, 10,581.90 and 2,896.95

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Solution

The fourth proportional to 7,055.76, 10,581.90 and 2,896.95 is: 4,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.76 : 10,581.90 = 2,896.95 : x
  2. Step 2: Convert to fraction form
    7,055.76/10,581.90 = 2,896.95/x
  3. Step 3: Cross multiply
    7,055.76x = 10,581.90 × 2,896.95
  4. Step 4: Simplify right side
    7,055.76x = 30,655,235.21
  5. Step 5: Solve for x
    x = 30,655,235.21/7,055.76
  6. Step 6: Final answer
    x = 4,344.71

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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.