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Finding the Fourth Proportional to 7,328.82, 10,985.49 and 2,397.14

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Solution

The fourth proportional to 7,328.82, 10,985.49 and 2,397.14 is: 3,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.82 : 10,985.49 = 2,397.14 : x
  2. Step 2: Convert to fraction form
    7,328.82/10,985.49 = 2,397.14/x
  3. Step 3: Cross multiply
    7,328.82x = 10,985.49 × 2,397.14
  4. Step 4: Simplify right side
    7,328.82x = 26,333,757.50
  5. Step 5: Solve for x
    x = 26,333,757.50/7,328.82
  6. Step 6: Final answer
    x = 3,593.18

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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.