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Finding the Fourth Proportional to 7,015.96, 9,678.99 and 4,031.11

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Solution

The fourth proportional to 7,015.96, 9,678.99 and 4,031.11 is: 5,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.96 : 9,678.99 = 4,031.11 : x
  2. Step 2: Convert to fraction form
    7,015.96/9,678.99 = 4,031.11/x
  3. Step 3: Cross multiply
    7,015.96x = 9,678.99 × 4,031.11
  4. Step 4: Simplify right side
    7,015.96x = 39,017,073.38
  5. Step 5: Solve for x
    x = 39,017,073.38/7,015.96
  6. Step 6: Final answer
    x = 5,561.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.