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Finding the Fourth Proportional to 8,434.74, 11,640.10 and 4,898.18

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Solution

The fourth proportional to 8,434.74, 11,640.10 and 4,898.18 is: 6,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.74 : 11,640.10 = 4,898.18 : x
  2. Step 2: Convert to fraction form
    8,434.74/11,640.10 = 4,898.18/x
  3. Step 3: Cross multiply
    8,434.74x = 11,640.10 × 4,898.18
  4. Step 4: Simplify right side
    8,434.74x = 57,015,305.02
  5. Step 5: Solve for x
    x = 57,015,305.02/8,434.74
  6. Step 6: Final answer
    x = 6,759.58

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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.