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Finding the Fourth Proportional to 7,897.83, 11,846.71 and 3,216.79

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Solution

The fourth proportional to 7,897.83, 11,846.71 and 3,216.79 is: 4,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.83 : 11,846.71 = 3,216.79 : x
  2. Step 2: Convert to fraction form
    7,897.83/11,846.71 = 3,216.79/x
  3. Step 3: Cross multiply
    7,897.83x = 11,846.71 × 3,216.79
  4. Step 4: Simplify right side
    7,897.83x = 38,108,397.09
  5. Step 5: Solve for x
    x = 38,108,397.09/7,897.83
  6. Step 6: Final answer
    x = 4,825.18

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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.