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Finding the Fourth Proportional to 7,949.41, 10,972.16 and 4,594.16

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Solution

The fourth proportional to 7,949.41, 10,972.16 and 4,594.16 is: 6,341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.41 : 10,972.16 = 4,594.16 : x
  2. Step 2: Convert to fraction form
    7,949.41/10,972.16 = 4,594.16/x
  3. Step 3: Cross multiply
    7,949.41x = 10,972.16 × 4,594.16
  4. Step 4: Simplify right side
    7,949.41x = 50,407,858.59
  5. Step 5: Solve for x
    x = 50,407,858.59/7,949.41
  6. Step 6: Final answer
    x = 6,341.08

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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.