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Finding the Fourth Proportional to 7,457.68, 10,291.37 and 4,100.49

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Solution

The fourth proportional to 7,457.68, 10,291.37 and 4,100.49 is: 5,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.68 : 10,291.37 = 4,100.49 : x
  2. Step 2: Convert to fraction form
    7,457.68/10,291.37 = 4,100.49/x
  3. Step 3: Cross multiply
    7,457.68x = 10,291.37 × 4,100.49
  4. Step 4: Simplify right side
    7,457.68x = 42,199,601.62
  5. Step 5: Solve for x
    x = 42,199,601.62/7,457.68
  6. Step 6: Final answer
    x = 5,658.54

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