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Finding the Fourth Proportional to 7,293.84, 10,065.69 and 4,150.20

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Solution

The fourth proportional to 7,293.84, 10,065.69 and 4,150.20 is: 5,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.84 : 10,065.69 = 4,150.20 : x
  2. Step 2: Convert to fraction form
    7,293.84/10,065.69 = 4,150.20/x
  3. Step 3: Cross multiply
    7,293.84x = 10,065.69 × 4,150.20
  4. Step 4: Simplify right side
    7,293.84x = 41,774,626.64
  5. Step 5: Solve for x
    x = 41,774,626.64/7,293.84
  6. Step 6: Final answer
    x = 5,727.38

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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.