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Finding the Fourth Proportional to 7,949.69, 10,971.10 and 4,412.93

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Solution

The fourth proportional to 7,949.69, 10,971.10 and 4,412.93 is: 6,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.69 : 10,971.10 = 4,412.93 : x
  2. Step 2: Convert to fraction form
    7,949.69/10,971.10 = 4,412.93/x
  3. Step 3: Cross multiply
    7,949.69x = 10,971.10 × 4,412.93
  4. Step 4: Simplify right side
    7,949.69x = 48,414,683.87
  5. Step 5: Solve for x
    x = 48,414,683.87/7,949.69
  6. Step 6: Final answer
    x = 6,090.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.