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Finding the Fourth Proportional to 8,705.91, 13,029.98 and 7,927.70

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Solution

The fourth proportional to 8,705.91, 13,029.98 and 7,927.70 is: 11,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.91 : 13,029.98 = 7,927.70 : x
  2. Step 2: Convert to fraction form
    8,705.91/13,029.98 = 7,927.70/x
  3. Step 3: Cross multiply
    8,705.91x = 13,029.98 × 7,927.70
  4. Step 4: Simplify right side
    8,705.91x = 103,297,732.81
  5. Step 5: Solve for x
    x = 103,297,732.81/8,705.91
  6. Step 6: Final answer
    x = 11,865.25

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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.