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Finding the Fourth Proportional to 11,651.74, 17,462.76 and 5,076.16

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Solution

The fourth proportional to 11,651.74, 17,462.76 and 5,076.16 is: 7,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.74 : 17,462.76 = 5,076.16 : x
  2. Step 2: Convert to fraction form
    11,651.74/17,462.76 = 5,076.16/x
  3. Step 3: Cross multiply
    11,651.74x = 17,462.76 × 5,076.16
  4. Step 4: Simplify right side
    11,651.74x = 88,643,763.80
  5. Step 5: Solve for x
    x = 88,643,763.80/11,651.74
  6. Step 6: Final answer
    x = 7,607.77

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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.