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Finding the Fourth Proportional to 7,826.66, 10,795.06 and 5,702.84

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Solution

The fourth proportional to 7,826.66, 10,795.06 and 5,702.84 is: 7,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.66 : 10,795.06 = 5,702.84 : x
  2. Step 2: Convert to fraction form
    7,826.66/10,795.06 = 5,702.84/x
  3. Step 3: Cross multiply
    7,826.66x = 10,795.06 × 5,702.84
  4. Step 4: Simplify right side
    7,826.66x = 61,562,499.97
  5. Step 5: Solve for x
    x = 61,562,499.97/7,826.66
  6. Step 6: Final answer
    x = 7,865.74

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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.