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Finding the Fourth Proportional to 8,274.93, 11,419.53 and 4,498.17

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Solution

The fourth proportional to 8,274.93, 11,419.53 and 4,498.17 is: 6,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.93 : 11,419.53 = 4,498.17 : x
  2. Step 2: Convert to fraction form
    8,274.93/11,419.53 = 4,498.17/x
  3. Step 3: Cross multiply
    8,274.93x = 11,419.53 × 4,498.17
  4. Step 4: Simplify right side
    8,274.93x = 51,366,987.26
  5. Step 5: Solve for x
    x = 51,366,987.26/8,274.93
  6. Step 6: Final answer
    x = 6,207.54

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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.