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Finding the Fourth Proportional to 7,722.50, 10,656.99 and 4,185.62

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Solution

The fourth proportional to 7,722.50, 10,656.99 and 4,185.62 is: 5,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.50 : 10,656.99 = 4,185.62 : x
  2. Step 2: Convert to fraction form
    7,722.50/10,656.99 = 4,185.62/x
  3. Step 3: Cross multiply
    7,722.50x = 10,656.99 × 4,185.62
  4. Step 4: Simplify right side
    7,722.50x = 44,606,110.48
  5. Step 5: Solve for x
    x = 44,606,110.48/7,722.50
  6. Step 6: Final answer
    x = 5,776.12

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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.