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Finding the Fourth Proportional to 8,457.19, 11,668.28 and 4,919.71

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Solution

The fourth proportional to 8,457.19, 11,668.28 and 4,919.71 is: 6,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.19 : 11,668.28 = 4,919.71 : x
  2. Step 2: Convert to fraction form
    8,457.19/11,668.28 = 4,919.71/x
  3. Step 3: Cross multiply
    8,457.19x = 11,668.28 × 4,919.71
  4. Step 4: Simplify right side
    8,457.19x = 57,404,553.80
  5. Step 5: Solve for x
    x = 57,404,553.80/8,457.19
  6. Step 6: Final answer
    x = 6,787.66

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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.