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Finding the Fourth Proportional to 7,772.99, 11,656.05 and 2,225.07

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Solution

The fourth proportional to 7,772.99, 11,656.05 and 2,225.07 is: 3,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.99 : 11,656.05 = 2,225.07 : x
  2. Step 2: Convert to fraction form
    7,772.99/11,656.05 = 2,225.07/x
  3. Step 3: Cross multiply
    7,772.99x = 11,656.05 × 2,225.07
  4. Step 4: Simplify right side
    7,772.99x = 25,935,518.83
  5. Step 5: Solve for x
    x = 25,935,518.83/7,772.99
  6. Step 6: Final answer
    x = 3,336.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.