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Finding the Fourth Proportional to 7,567.09, 11,350.64 and 2,302.09

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Solution

The fourth proportional to 7,567.09, 11,350.64 and 2,302.09 is: 3,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.09 : 11,350.64 = 2,302.09 : x
  2. Step 2: Convert to fraction form
    7,567.09/11,350.64 = 2,302.09/x
  3. Step 3: Cross multiply
    7,567.09x = 11,350.64 × 2,302.09
  4. Step 4: Simplify right side
    7,567.09x = 26,130,194.84
  5. Step 5: Solve for x
    x = 26,130,194.84/7,567.09
  6. Step 6: Final answer
    x = 3,453.14

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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.