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Finding the Fourth Proportional to 8,811.71, 13,216.26 and 2,570.04

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Solution

The fourth proportional to 8,811.71, 13,216.26 and 2,570.04 is: 3,854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.71 : 13,216.26 = 2,570.04 : x
  2. Step 2: Convert to fraction form
    8,811.71/13,216.26 = 2,570.04/x
  3. Step 3: Cross multiply
    8,811.71x = 13,216.26 × 2,570.04
  4. Step 4: Simplify right side
    8,811.71x = 33,966,316.85
  5. Step 5: Solve for x
    x = 33,966,316.85/8,811.71
  6. Step 6: Final answer
    x = 3,854.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.