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Finding the Fourth Proportional to 7,493.21, 10,340.50 and 4,136.02

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Solution

The fourth proportional to 7,493.21, 10,340.50 and 4,136.02 is: 5,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.21 : 10,340.50 = 4,136.02 : x
  2. Step 2: Convert to fraction form
    7,493.21/10,340.50 = 4,136.02/x
  3. Step 3: Cross multiply
    7,493.21x = 10,340.50 × 4,136.02
  4. Step 4: Simplify right side
    7,493.21x = 42,768,514.81
  5. Step 5: Solve for x
    x = 42,768,514.81/7,493.21
  6. Step 6: Final answer
    x = 5,707.64

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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.