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Finding the Fourth Proportional to 11,002.74, 16,506.53 and 5,156.16

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Solution

The fourth proportional to 11,002.74, 16,506.53 and 5,156.16 is: 7,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.74 : 16,506.53 = 5,156.16 : x
  2. Step 2: Convert to fraction form
    11,002.74/16,506.53 = 5,156.16/x
  3. Step 3: Cross multiply
    11,002.74x = 16,506.53 × 5,156.16
  4. Step 4: Simplify right side
    11,002.74x = 85,110,270.38
  5. Step 5: Solve for x
    x = 85,110,270.38/11,002.74
  6. Step 6: Final answer
    x = 7,735.37

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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.