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Finding the Fourth Proportional to 7,204.10, 10,798.72 and 5,224.77

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Solution

The fourth proportional to 7,204.10, 10,798.72 and 5,224.77 is: 7,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.10 : 10,798.72 = 5,224.77 : x
  2. Step 2: Convert to fraction form
    7,204.10/10,798.72 = 5,224.77/x
  3. Step 3: Cross multiply
    7,204.10x = 10,798.72 × 5,224.77
  4. Step 4: Simplify right side
    7,204.10x = 56,420,815.23
  5. Step 5: Solve for x
    x = 56,420,815.23/7,204.10
  6. Step 6: Final answer
    x = 7,831.77

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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.