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Finding the Fourth Proportional to 8,440.38, 11,646.90 and 4,903.74

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Solution

The fourth proportional to 8,440.38, 11,646.90 and 4,903.74 is: 6,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.38 : 11,646.90 = 4,903.74 : x
  2. Step 2: Convert to fraction form
    8,440.38/11,646.90 = 4,903.74/x
  3. Step 3: Cross multiply
    8,440.38x = 11,646.90 × 4,903.74
  4. Step 4: Simplify right side
    8,440.38x = 57,113,369.41
  5. Step 5: Solve for x
    x = 57,113,369.41/8,440.38
  6. Step 6: Final answer
    x = 6,766.68

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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.