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Finding the Fourth Proportional to 7,310.70, 10,966.05 and 6,705.90

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Solution

The fourth proportional to 7,310.70, 10,966.05 and 6,705.90 is: 10,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.70 : 10,966.05 = 6,705.90 : x
  2. Step 2: Convert to fraction form
    7,310.70/10,966.05 = 6,705.90/x
  3. Step 3: Cross multiply
    7,310.70x = 10,966.05 × 6,705.90
  4. Step 4: Simplify right side
    7,310.70x = 73,537,234.70
  5. Step 5: Solve for x
    x = 73,537,234.70/7,310.70
  6. Step 6: Final answer
    x = 10,058.85

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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.