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Finding the Fourth Proportional to 7,530.74, 11,296.47 and 3,638.42

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Solution

The fourth proportional to 7,530.74, 11,296.47 and 3,638.42 is: 5,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.74 : 11,296.47 = 3,638.42 : x
  2. Step 2: Convert to fraction form
    7,530.74/11,296.47 = 3,638.42/x
  3. Step 3: Cross multiply
    7,530.74x = 11,296.47 × 3,638.42
  4. Step 4: Simplify right side
    7,530.74x = 41,101,302.38
  5. Step 5: Solve for x
    x = 41,101,302.38/7,530.74
  6. Step 6: Final answer
    x = 5,457.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.