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Finding the Fourth Proportional to 7,298.82, 10,948.50 and 2,369.16

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Solution

The fourth proportional to 7,298.82, 10,948.50 and 2,369.16 is: 3,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.82 : 10,948.50 = 2,369.16 : x
  2. Step 2: Convert to fraction form
    7,298.82/10,948.50 = 2,369.16/x
  3. Step 3: Cross multiply
    7,298.82x = 10,948.50 × 2,369.16
  4. Step 4: Simplify right side
    7,298.82x = 25,938,748.26
  5. Step 5: Solve for x
    x = 25,938,748.26/7,298.82
  6. Step 6: Final answer
    x = 3,553.83

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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.