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Finding the Fourth Proportional to 7,160.88, 10,733.04 and 3,457.92

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Solution

The fourth proportional to 7,160.88, 10,733.04 and 3,457.92 is: 5,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.88 : 10,733.04 = 3,457.92 : x
  2. Step 2: Convert to fraction form
    7,160.88/10,733.04 = 3,457.92/x
  3. Step 3: Cross multiply
    7,160.88x = 10,733.04 × 3,457.92
  4. Step 4: Simplify right side
    7,160.88x = 37,113,993.68
  5. Step 5: Solve for x
    x = 37,113,993.68/7,160.88
  6. Step 6: Final answer
    x = 5,182.88

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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.