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Finding the Fourth Proportional to 7,946.96, 10,966.80 and 4,410.40

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Solution

The fourth proportional to 7,946.96, 10,966.80 and 4,410.40 is: 6,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.96 : 10,966.80 = 4,410.40 : x
  2. Step 2: Convert to fraction form
    7,946.96/10,966.80 = 4,410.40/x
  3. Step 3: Cross multiply
    7,946.96x = 10,966.80 × 4,410.40
  4. Step 4: Simplify right side
    7,946.96x = 48,367,974.72
  5. Step 5: Solve for x
    x = 48,367,974.72/7,946.96
  6. Step 6: Final answer
    x = 6,086.35

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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.