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Finding the Fourth Proportional to 8,334.19, 11,500.71 and 4,556.65

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Solution

The fourth proportional to 8,334.19, 11,500.71 and 4,556.65 is: 6,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.19 : 11,500.71 = 4,556.65 : x
  2. Step 2: Convert to fraction form
    8,334.19/11,500.71 = 4,556.65/x
  3. Step 3: Cross multiply
    8,334.19x = 11,500.71 × 4,556.65
  4. Step 4: Simplify right side
    8,334.19x = 52,404,685.95
  5. Step 5: Solve for x
    x = 52,404,685.95/8,334.19
  6. Step 6: Final answer
    x = 6,287.92

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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.