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Finding the Fourth Proportional to 7,473.81, 10,318 and 4,490.38

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Solution

The fourth proportional to 7,473.81, 10,318 and 4,490.38 is: 6,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.81 : 10,318 = 4,490.38 : x
  2. Step 2: Convert to fraction form
    7,473.81/10,318 = 4,490.38/x
  3. Step 3: Cross multiply
    7,473.81x = 10,318 × 4,490.38
  4. Step 4: Simplify right side
    7,473.81x = 46,331,740.84
  5. Step 5: Solve for x
    x = 46,331,740.84/7,473.81
  6. Step 6: Final answer
    x = 6,199.21

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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.