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Finding the Fourth Proportional to 11,683.17, 17,521.52 and 3,247.74

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Solution

The fourth proportional to 11,683.17, 17,521.52 and 3,247.74 is: 4,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.17 : 17,521.52 = 3,247.74 : x
  2. Step 2: Convert to fraction form
    11,683.17/17,521.52 = 3,247.74/x
  3. Step 3: Cross multiply
    11,683.17x = 17,521.52 × 3,247.74
  4. Step 4: Simplify right side
    11,683.17x = 56,905,325.13
  5. Step 5: Solve for x
    x = 56,905,325.13/11,683.17
  6. Step 6: Final answer
    x = 4,870.71

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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.