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Finding the Fourth Proportional to 7,983, 11,016.54 and 4,841.01

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Solution

The fourth proportional to 7,983, 11,016.54 and 4,841.01 is: 6,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 11,016.54 = 4,841.01 : x
  2. Step 2: Convert to fraction form
    7,983/11,016.54 = 4,841.01/x
  3. Step 3: Cross multiply
    7,983x = 11,016.54 × 4,841.01
  4. Step 4: Simplify right side
    7,983x = 53,331,180.31
  5. Step 5: Solve for x
    x = 53,331,180.31/7,983
  6. Step 6: Final answer
    x = 6,680.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.