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Finding the Fourth Proportional to 7,826.56, 10,801.76 and 4,843.35

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Solution

The fourth proportional to 7,826.56, 10,801.76 and 4,843.35 is: 6,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.56 : 10,801.76 = 4,843.35 : x
  2. Step 2: Convert to fraction form
    7,826.56/10,801.76 = 4,843.35/x
  3. Step 3: Cross multiply
    7,826.56x = 10,801.76 × 4,843.35
  4. Step 4: Simplify right side
    7,826.56x = 52,316,734.21
  5. Step 5: Solve for x
    x = 52,316,734.21/7,826.56
  6. Step 6: Final answer
    x = 6,684.51

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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.