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Finding the Fourth Proportional to 7,789.71, 10,749.75 and 4,252.92

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Solution

The fourth proportional to 7,789.71, 10,749.75 and 4,252.92 is: 5,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.71 : 10,749.75 = 4,252.92 : x
  2. Step 2: Convert to fraction form
    7,789.71/10,749.75 = 4,252.92/x
  3. Step 3: Cross multiply
    7,789.71x = 10,749.75 × 4,252.92
  4. Step 4: Simplify right side
    7,789.71x = 45,717,826.77
  5. Step 5: Solve for x
    x = 45,717,826.77/7,789.71
  6. Step 6: Final answer
    x = 5,869.00

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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.