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Finding the Fourth Proportional to 7,708.33, 11,562.53 and 1,864.95

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Solution

The fourth proportional to 7,708.33, 11,562.53 and 1,864.95 is: 2,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.33 : 11,562.53 = 1,864.95 : x
  2. Step 2: Convert to fraction form
    7,708.33/11,562.53 = 1,864.95/x
  3. Step 3: Cross multiply
    7,708.33x = 11,562.53 × 1,864.95
  4. Step 4: Simplify right side
    7,708.33x = 21,563,540.32
  5. Step 5: Solve for x
    x = 21,563,540.32/7,708.33
  6. Step 6: Final answer
    x = 2,797.43

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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.