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Finding the Fourth Proportional to 8,143.77, 12,208.32 and 2,946

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Solution

The fourth proportional to 8,143.77, 12,208.32 and 2,946 is: 4,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.77 : 12,208.32 = 2,946 : x
  2. Step 2: Convert to fraction form
    8,143.77/12,208.32 = 2,946/x
  3. Step 3: Cross multiply
    8,143.77x = 12,208.32 × 2,946
  4. Step 4: Simplify right side
    8,143.77x = 35,965,710.72
  5. Step 5: Solve for x
    x = 35,965,710.72/8,143.77
  6. Step 6: Final answer
    x = 4,416.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.