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Finding the Fourth Proportional to 6,877.71, 10,322.46 and 6,825.94

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Solution

The fourth proportional to 6,877.71, 10,322.46 and 6,825.94 is: 10,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.71 : 10,322.46 = 6,825.94 : x
  2. Step 2: Convert to fraction form
    6,877.71/10,322.46 = 6,825.94/x
  3. Step 3: Cross multiply
    6,877.71x = 10,322.46 × 6,825.94
  4. Step 4: Simplify right side
    6,877.71x = 70,460,466.81
  5. Step 5: Solve for x
    x = 70,460,466.81/6,877.71
  6. Step 6: Final answer
    x = 10,244.76

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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.