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Finding the Fourth Proportional to 8,341.27, 11,515.14 and 6,448.59

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Solution

The fourth proportional to 8,341.27, 11,515.14 and 6,448.59 is: 8,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.27 : 11,515.14 = 6,448.59 : x
  2. Step 2: Convert to fraction form
    8,341.27/11,515.14 = 6,448.59/x
  3. Step 3: Cross multiply
    8,341.27x = 11,515.14 × 6,448.59
  4. Step 4: Simplify right side
    8,341.27x = 74,256,416.65
  5. Step 5: Solve for x
    x = 74,256,416.65/8,341.27
  6. Step 6: Final answer
    x = 8,902.29

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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.