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Finding the Fourth Proportional to 7,003, 10,497.18 and 3,715.18

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Solution

The fourth proportional to 7,003, 10,497.18 and 3,715.18 is: 5,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003 : 10,497.18 = 3,715.18 : x
  2. Step 2: Convert to fraction form
    7,003/10,497.18 = 3,715.18/x
  3. Step 3: Cross multiply
    7,003x = 10,497.18 × 3,715.18
  4. Step 4: Simplify right side
    7,003x = 38,998,913.19
  5. Step 5: Solve for x
    x = 38,998,913.19/7,003
  6. Step 6: Final answer
    x = 5,568.89

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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.