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Finding the Fourth Proportional to 7,702.83, 11,554.27 and 1,859.44

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Solution

The fourth proportional to 7,702.83, 11,554.27 and 1,859.44 is: 2,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.83 : 11,554.27 = 1,859.44 : x
  2. Step 2: Convert to fraction form
    7,702.83/11,554.27 = 1,859.44/x
  3. Step 3: Cross multiply
    7,702.83x = 11,554.27 × 1,859.44
  4. Step 4: Simplify right side
    7,702.83x = 21,484,471.81
  5. Step 5: Solve for x
    x = 21,484,471.81/7,702.83
  6. Step 6: Final answer
    x = 2,789.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.