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Finding the Fourth Proportional to 7,549.72, 11,325.14 and 2,002.94

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Solution

The fourth proportional to 7,549.72, 11,325.14 and 2,002.94 is: 3,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.72 : 11,325.14 = 2,002.94 : x
  2. Step 2: Convert to fraction form
    7,549.72/11,325.14 = 2,002.94/x
  3. Step 3: Cross multiply
    7,549.72x = 11,325.14 × 2,002.94
  4. Step 4: Simplify right side
    7,549.72x = 22,683,575.91
  5. Step 5: Solve for x
    x = 22,683,575.91/7,549.72
  6. Step 6: Final answer
    x = 3,004.56

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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.