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Finding the Fourth Proportional to 7,818.34, 10,776.41 and 5,546.83

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Solution

The fourth proportional to 7,818.34, 10,776.41 and 5,546.83 is: 7,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.34 : 10,776.41 = 5,546.83 : x
  2. Step 2: Convert to fraction form
    7,818.34/10,776.41 = 5,546.83/x
  3. Step 3: Cross multiply
    7,818.34x = 10,776.41 × 5,546.83
  4. Step 4: Simplify right side
    7,818.34x = 59,774,900.61
  5. Step 5: Solve for x
    x = 59,774,900.61/7,818.34
  6. Step 6: Final answer
    x = 7,645.47

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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.