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Finding the Fourth Proportional to 8,811.59, 13,219.47 and 3,545.78

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Solution

The fourth proportional to 8,811.59, 13,219.47 and 3,545.78 is: 5,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.59 : 13,219.47 = 3,545.78 : x
  2. Step 2: Convert to fraction form
    8,811.59/13,219.47 = 3,545.78/x
  3. Step 3: Cross multiply
    8,811.59x = 13,219.47 × 3,545.78
  4. Step 4: Simplify right side
    8,811.59x = 46,873,266.24
  5. Step 5: Solve for x
    x = 46,873,266.24/8,811.59
  6. Step 6: Final answer
    x = 5,319.50

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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.