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Finding the Fourth Proportional to 7,016.63, 10,516.74 and 3,895.14

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Solution

The fourth proportional to 7,016.63, 10,516.74 and 3,895.14 is: 5,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.63 : 10,516.74 = 3,895.14 : x
  2. Step 2: Convert to fraction form
    7,016.63/10,516.74 = 3,895.14/x
  3. Step 3: Cross multiply
    7,016.63x = 10,516.74 × 3,895.14
  4. Step 4: Simplify right side
    7,016.63x = 40,964,140.32
  5. Step 5: Solve for x
    x = 40,964,140.32/7,016.63
  6. Step 6: Final answer
    x = 5,838.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.