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Finding the Fourth Proportional to 6,715.96, 10,077.98 and 2,336.49

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Solution

The fourth proportional to 6,715.96, 10,077.98 and 2,336.49 is: 3,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.96 : 10,077.98 = 2,336.49 : x
  2. Step 2: Convert to fraction form
    6,715.96/10,077.98 = 2,336.49/x
  3. Step 3: Cross multiply
    6,715.96x = 10,077.98 × 2,336.49
  4. Step 4: Simplify right side
    6,715.96x = 23,547,099.49
  5. Step 5: Solve for x
    x = 23,547,099.49/6,715.96
  6. Step 6: Final answer
    x = 3,506.14

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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.