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Finding the Fourth Proportional to 7,722.18, 10,657.05 and 4,363.74

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Solution

The fourth proportional to 7,722.18, 10,657.05 and 4,363.74 is: 6,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.18 : 10,657.05 = 4,363.74 : x
  2. Step 2: Convert to fraction form
    7,722.18/10,657.05 = 4,363.74/x
  3. Step 3: Cross multiply
    7,722.18x = 10,657.05 × 4,363.74
  4. Step 4: Simplify right side
    7,722.18x = 46,504,595.37
  5. Step 5: Solve for x
    x = 46,504,595.37/7,722.18
  6. Step 6: Final answer
    x = 6,022.21

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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.