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Finding the Fourth Proportional to 8,705.91, 13,060.44 and 3,167.00

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Solution

The fourth proportional to 8,705.91, 13,060.44 and 3,167.00 is: 4,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.91 : 13,060.44 = 3,167.00 : x
  2. Step 2: Convert to fraction form
    8,705.91/13,060.44 = 3,167.00/x
  3. Step 3: Cross multiply
    8,705.91x = 13,060.44 × 3,167.00
  4. Step 4: Simplify right side
    8,705.91x = 41,362,397.15
  5. Step 5: Solve for x
    x = 41,362,397.15/8,705.91
  6. Step 6: Final answer
    x = 4,751.07

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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.