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Finding the Fourth Proportional to 7,954.14, 10,976.24 and 4,417.14

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Solution

The fourth proportional to 7,954.14, 10,976.24 and 4,417.14 is: 6,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.14 : 10,976.24 = 4,417.14 : x
  2. Step 2: Convert to fraction form
    7,954.14/10,976.24 = 4,417.14/x
  3. Step 3: Cross multiply
    7,954.14x = 10,976.24 × 4,417.14
  4. Step 4: Simplify right side
    7,954.14x = 48,483,588.75
  5. Step 5: Solve for x
    x = 48,483,588.75/7,954.14
  6. Step 6: Final answer
    x = 6,095.39

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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.