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Finding the Fourth Proportional to 10,109.64, 13,952.38 and 5,921.40

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Solution

The fourth proportional to 10,109.64, 13,952.38 and 5,921.40 is: 8,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.64 : 13,952.38 = 5,921.40 : x
  2. Step 2: Convert to fraction form
    10,109.64/13,952.38 = 5,921.40/x
  3. Step 3: Cross multiply
    10,109.64x = 13,952.38 × 5,921.40
  4. Step 4: Simplify right side
    10,109.64x = 82,617,622.93
  5. Step 5: Solve for x
    x = 82,617,622.93/10,109.64
  6. Step 6: Final answer
    x = 8,172.16

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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.