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Finding the Fourth Proportional to 7,808.94, 11,702.34 and 5,859

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Solution

The fourth proportional to 7,808.94, 11,702.34 and 5,859 is: 8,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.94 : 11,702.34 = 5,859 : x
  2. Step 2: Convert to fraction form
    7,808.94/11,702.34 = 5,859/x
  3. Step 3: Cross multiply
    7,808.94x = 11,702.34 × 5,859
  4. Step 4: Simplify right side
    7,808.94x = 68,564,010.06
  5. Step 5: Solve for x
    x = 68,564,010.06/7,808.94
  6. Step 6: Final answer
    x = 8,780.19

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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.