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Finding the Fourth Proportional to 7,396.60, 10,207.38 and 4,039.46

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Solution

The fourth proportional to 7,396.60, 10,207.38 and 4,039.46 is: 5,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.60 : 10,207.38 = 4,039.46 : x
  2. Step 2: Convert to fraction form
    7,396.60/10,207.38 = 4,039.46/x
  3. Step 3: Cross multiply
    7,396.60x = 10,207.38 × 4,039.46
  4. Step 4: Simplify right side
    7,396.60x = 41,232,303.21
  5. Step 5: Solve for x
    x = 41,232,303.21/7,396.60
  6. Step 6: Final answer
    x = 5,574.49

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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.