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Finding the Fourth Proportional to 7,308.38, 10,093.73 and 4,946.42

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Solution

The fourth proportional to 7,308.38, 10,093.73 and 4,946.42 is: 6,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.38 : 10,093.73 = 4,946.42 : x
  2. Step 2: Convert to fraction form
    7,308.38/10,093.73 = 4,946.42/x
  3. Step 3: Cross multiply
    7,308.38x = 10,093.73 × 4,946.42
  4. Step 4: Simplify right side
    7,308.38x = 49,927,827.95
  5. Step 5: Solve for x
    x = 49,927,827.95/7,308.38
  6. Step 6: Final answer
    x = 6,831.59

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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.