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Finding the Fourth Proportional to 11,931.86, 17,903.52 and 4,917

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Solution

The fourth proportional to 11,931.86, 17,903.52 and 4,917 is: 7,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.86 : 17,903.52 = 4,917 : x
  2. Step 2: Convert to fraction form
    11,931.86/17,903.52 = 4,917/x
  3. Step 3: Cross multiply
    11,931.86x = 17,903.52 × 4,917
  4. Step 4: Simplify right side
    11,931.86x = 88,031,607.84
  5. Step 5: Solve for x
    x = 88,031,607.84/11,931.86
  6. Step 6: Final answer
    x = 7,377.86

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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.