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Finding the Fourth Proportional to 7,471.81, 10,315.24 and 4,488.38

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Solution

The fourth proportional to 7,471.81, 10,315.24 and 4,488.38 is: 6,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.81 : 10,315.24 = 4,488.38 : x
  2. Step 2: Convert to fraction form
    7,471.81/10,315.24 = 4,488.38/x
  3. Step 3: Cross multiply
    7,471.81x = 10,315.24 × 4,488.38
  4. Step 4: Simplify right side
    7,471.81x = 46,298,654.11
  5. Step 5: Solve for x
    x = 46,298,654.11/7,471.81
  6. Step 6: Final answer
    x = 6,196.45

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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.