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Finding the Fourth Proportional to 8,695.40, 13,043.09 and 2,121.50

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Solution

The fourth proportional to 8,695.40, 13,043.09 and 2,121.50 is: 3,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.40 : 13,043.09 = 2,121.50 : x
  2. Step 2: Convert to fraction form
    8,695.40/13,043.09 = 2,121.50/x
  3. Step 3: Cross multiply
    8,695.40x = 13,043.09 × 2,121.50
  4. Step 4: Simplify right side
    8,695.40x = 27,670,953.35
  5. Step 5: Solve for x
    x = 27,670,953.35/8,695.40
  6. Step 6: Final answer
    x = 3,182.25

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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.