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Finding the Fourth Proportional to 8,244.64, 11,377.68 and 4,932

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Solution

The fourth proportional to 8,244.64, 11,377.68 and 4,932 is: 6,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.64 : 11,377.68 = 4,932 : x
  2. Step 2: Convert to fraction form
    8,244.64/11,377.68 = 4,932/x
  3. Step 3: Cross multiply
    8,244.64x = 11,377.68 × 4,932
  4. Step 4: Simplify right side
    8,244.64x = 56,114,717.76
  5. Step 5: Solve for x
    x = 56,114,717.76/8,244.64
  6. Step 6: Final answer
    x = 6,806.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.