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Finding the Fourth Proportional to 10,686.62, 14,747.25 and 5,970.90

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Solution

The fourth proportional to 10,686.62, 14,747.25 and 5,970.90 is: 8,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.62 : 14,747.25 = 5,970.90 : x
  2. Step 2: Convert to fraction form
    10,686.62/14,747.25 = 5,970.90/x
  3. Step 3: Cross multiply
    10,686.62x = 14,747.25 × 5,970.90
  4. Step 4: Simplify right side
    10,686.62x = 88,054,355.03
  5. Step 5: Solve for x
    x = 88,054,355.03/10,686.62
  6. Step 6: Final answer
    x = 8,239.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.