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Finding the Fourth Proportional to 7,335.81, 10,123.38 and 3,978.70

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Solution

The fourth proportional to 7,335.81, 10,123.38 and 3,978.70 is: 5,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.81 : 10,123.38 = 3,978.70 : x
  2. Step 2: Convert to fraction form
    7,335.81/10,123.38 = 3,978.70/x
  3. Step 3: Cross multiply
    7,335.81x = 10,123.38 × 3,978.70
  4. Step 4: Simplify right side
    7,335.81x = 40,277,866.70
  5. Step 5: Solve for x
    x = 40,277,866.70/7,335.81
  6. Step 6: Final answer
    x = 5,490.58

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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.