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Finding the Fourth Proportional to 7,811.63, 11,707.26 and 6,822.10

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Solution

The fourth proportional to 7,811.63, 11,707.26 and 6,822.10 is: 10,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.63 : 11,707.26 = 6,822.10 : x
  2. Step 2: Convert to fraction form
    7,811.63/11,707.26 = 6,822.10/x
  3. Step 3: Cross multiply
    7,811.63x = 11,707.26 × 6,822.10
  4. Step 4: Simplify right side
    7,811.63x = 79,868,098.45
  5. Step 5: Solve for x
    x = 79,868,098.45/7,811.63
  6. Step 6: Final answer
    x = 10,224.26

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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.