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Finding the Fourth Proportional to 7,713.66, 11,570.52 and 1,870.29

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Solution

The fourth proportional to 7,713.66, 11,570.52 and 1,870.29 is: 2,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.66 : 11,570.52 = 1,870.29 : x
  2. Step 2: Convert to fraction form
    7,713.66/11,570.52 = 1,870.29/x
  3. Step 3: Cross multiply
    7,713.66x = 11,570.52 × 1,870.29
  4. Step 4: Simplify right side
    7,713.66x = 21,640,227.85
  5. Step 5: Solve for x
    x = 21,640,227.85/7,713.66
  6. Step 6: Final answer
    x = 2,805.44

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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.