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Finding the Fourth Proportional to 7,118.46, 10,677.78 and 4,654.44

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Solution

The fourth proportional to 7,118.46, 10,677.78 and 4,654.44 is: 6,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.46 : 10,677.78 = 4,654.44 : x
  2. Step 2: Convert to fraction form
    7,118.46/10,677.78 = 4,654.44/x
  3. Step 3: Cross multiply
    7,118.46x = 10,677.78 × 4,654.44
  4. Step 4: Simplify right side
    7,118.46x = 49,699,086.34
  5. Step 5: Solve for x
    x = 49,699,086.34/7,118.46
  6. Step 6: Final answer
    x = 6,981.72

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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.