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Finding the Fourth Proportional to 7,722.60, 10,657.86 and 6,461.43

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Solution

The fourth proportional to 7,722.60, 10,657.86 and 6,461.43 is: 8,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.60 : 10,657.86 = 6,461.43 : x
  2. Step 2: Convert to fraction form
    7,722.60/10,657.86 = 6,461.43/x
  3. Step 3: Cross multiply
    7,722.60x = 10,657.86 × 6,461.43
  4. Step 4: Simplify right side
    7,722.60x = 68,865,016.34
  5. Step 5: Solve for x
    x = 68,865,016.34/7,722.60
  6. Step 6: Final answer
    x = 8,917.34

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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.