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Finding the Fourth Proportional to 7,427.80, 10,257.30 and 4,779.82

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Solution

The fourth proportional to 7,427.80, 10,257.30 and 4,779.82 is: 6,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.80 : 10,257.30 = 4,779.82 : x
  2. Step 2: Convert to fraction form
    7,427.80/10,257.30 = 4,779.82/x
  3. Step 3: Cross multiply
    7,427.80x = 10,257.30 × 4,779.82
  4. Step 4: Simplify right side
    7,427.80x = 49,028,047.69
  5. Step 5: Solve for x
    x = 49,028,047.69/7,427.80
  6. Step 6: Final answer
    x = 6,600.61

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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.