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Finding the Fourth Proportional to 7,813.68, 10,756.44 and 6,041.94

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Solution

The fourth proportional to 7,813.68, 10,756.44 and 6,041.94 is: 8,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.68 : 10,756.44 = 6,041.94 : x
  2. Step 2: Convert to fraction form
    7,813.68/10,756.44 = 6,041.94/x
  3. Step 3: Cross multiply
    7,813.68x = 10,756.44 × 6,041.94
  4. Step 4: Simplify right side
    7,813.68x = 64,989,765.09
  5. Step 5: Solve for x
    x = 64,989,765.09/7,813.68
  6. Step 6: Final answer
    x = 8,317.43

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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.