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Finding the Fourth Proportional to 10,360.58, 14,299.81 and 6,824.10

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Solution

The fourth proportional to 10,360.58, 14,299.81 and 6,824.10 is: 9,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.58 : 14,299.81 = 6,824.10 : x
  2. Step 2: Convert to fraction form
    10,360.58/14,299.81 = 6,824.10/x
  3. Step 3: Cross multiply
    10,360.58x = 14,299.81 × 6,824.10
  4. Step 4: Simplify right side
    10,360.58x = 97,583,333.42
  5. Step 5: Solve for x
    x = 97,583,333.42/10,360.58
  6. Step 6: Final answer
    x = 9,418.71

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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.