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Finding the Fourth Proportional to 8,193.74, 11,307.14 and 4,609.08

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Solution

The fourth proportional to 8,193.74, 11,307.14 and 4,609.08 is: 6,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.74 : 11,307.14 = 4,609.08 : x
  2. Step 2: Convert to fraction form
    8,193.74/11,307.14 = 4,609.08/x
  3. Step 3: Cross multiply
    8,193.74x = 11,307.14 × 4,609.08
  4. Step 4: Simplify right side
    8,193.74x = 52,115,489.79
  5. Step 5: Solve for x
    x = 52,115,489.79/8,193.74
  6. Step 6: Final answer
    x = 6,360.41

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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.