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Finding the Fourth Proportional to 7,009.68, 10,516.42 and 3,678.14

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Solution

The fourth proportional to 7,009.68, 10,516.42 and 3,678.14 is: 5,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.68 : 10,516.42 = 3,678.14 : x
  2. Step 2: Convert to fraction form
    7,009.68/10,516.42 = 3,678.14/x
  3. Step 3: Cross multiply
    7,009.68x = 10,516.42 × 3,678.14
  4. Step 4: Simplify right side
    7,009.68x = 38,680,865.06
  5. Step 5: Solve for x
    x = 38,680,865.06/7,009.68
  6. Step 6: Final answer
    x = 5,518.21

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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.