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Finding the Fourth Proportional to 7,457.80, 10,292.31 and 4,935.52

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Solution

The fourth proportional to 7,457.80, 10,292.31 and 4,935.52 is: 6,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.80 : 10,292.31 = 4,935.52 : x
  2. Step 2: Convert to fraction form
    7,457.80/10,292.31 = 4,935.52/x
  3. Step 3: Cross multiply
    7,457.80x = 10,292.31 × 4,935.52
  4. Step 4: Simplify right side
    7,457.80x = 50,797,901.85
  5. Step 5: Solve for x
    x = 50,797,901.85/7,457.80
  6. Step 6: Final answer
    x = 6,811.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.