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Finding the Fourth Proportional to 7,994.92, 11,931.32 and 7,120.12

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Solution

The fourth proportional to 7,994.92, 11,931.32 and 7,120.12 is: 10,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.92 : 11,931.32 = 7,120.12 : x
  2. Step 2: Convert to fraction form
    7,994.92/11,931.32 = 7,120.12/x
  3. Step 3: Cross multiply
    7,994.92x = 11,931.32 × 7,120.12
  4. Step 4: Simplify right side
    7,994.92x = 84,952,430.16
  5. Step 5: Solve for x
    x = 84,952,430.16/7,994.92
  6. Step 6: Final answer
    x = 10,625.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.