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Finding the Fourth Proportional to 7,903.42, 10,906.30 and 4,366.41

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Solution

The fourth proportional to 7,903.42, 10,906.30 and 4,366.41 is: 6,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.42 : 10,906.30 = 4,366.41 : x
  2. Step 2: Convert to fraction form
    7,903.42/10,906.30 = 4,366.41/x
  3. Step 3: Cross multiply
    7,903.42x = 10,906.30 × 4,366.41
  4. Step 4: Simplify right side
    7,903.42x = 47,621,317.38
  5. Step 5: Solve for x
    x = 47,621,317.38/7,903.42
  6. Step 6: Final answer
    x = 6,025.40

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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.