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Finding the Fourth Proportional to 7,722.63, 10,664.79 and 6,597

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Solution

The fourth proportional to 7,722.63, 10,664.79 and 6,597 is: 9,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.63 : 10,664.79 = 6,597 : x
  2. Step 2: Convert to fraction form
    7,722.63/10,664.79 = 6,597/x
  3. Step 3: Cross multiply
    7,722.63x = 10,664.79 × 6,597
  4. Step 4: Simplify right side
    7,722.63x = 70,355,619.63
  5. Step 5: Solve for x
    x = 70,355,619.63/7,722.63
  6. Step 6: Final answer
    x = 9,110.32

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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.