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Finding the Fourth Proportional to 8,770.99, 13,166.34 and 3,509.71

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Solution

The fourth proportional to 8,770.99, 13,166.34 and 3,509.71 is: 5,268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.99 : 13,166.34 = 3,509.71 : x
  2. Step 2: Convert to fraction form
    8,770.99/13,166.34 = 3,509.71/x
  3. Step 3: Cross multiply
    8,770.99x = 13,166.34 × 3,509.71
  4. Step 4: Simplify right side
    8,770.99x = 46,209,951.78
  5. Step 5: Solve for x
    x = 46,209,951.78/8,770.99
  6. Step 6: Final answer
    x = 5,268.50

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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.