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Finding the Fourth Proportional to 7,849.90, 10,826.22 and 5,607.64

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Solution

The fourth proportional to 7,849.90, 10,826.22 and 5,607.64 is: 7,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.90 : 10,826.22 = 5,607.64 : x
  2. Step 2: Convert to fraction form
    7,849.90/10,826.22 = 5,607.64/x
  3. Step 3: Cross multiply
    7,849.90x = 10,826.22 × 5,607.64
  4. Step 4: Simplify right side
    7,849.90x = 60,709,544.32
  5. Step 5: Solve for x
    x = 60,709,544.32/7,849.90
  6. Step 6: Final answer
    x = 7,733.80

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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.