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Finding the Fourth Proportional to 8,670.90, 13,007.61 and 2,826.06

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Solution

The fourth proportional to 8,670.90, 13,007.61 and 2,826.06 is: 4,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.90 : 13,007.61 = 2,826.06 : x
  2. Step 2: Convert to fraction form
    8,670.90/13,007.61 = 2,826.06/x
  3. Step 3: Cross multiply
    8,670.90x = 13,007.61 × 2,826.06
  4. Step 4: Simplify right side
    8,670.90x = 36,760,286.32
  5. Step 5: Solve for x
    x = 36,760,286.32/8,670.90
  6. Step 6: Final answer
    x = 4,239.50

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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.