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Finding the Fourth Proportional to 8,030.84, 11,083.38 and 5,048.96

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Solution

The fourth proportional to 8,030.84, 11,083.38 and 5,048.96 is: 6,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.84 : 11,083.38 = 5,048.96 : x
  2. Step 2: Convert to fraction form
    8,030.84/11,083.38 = 5,048.96/x
  3. Step 3: Cross multiply
    8,030.84x = 11,083.38 × 5,048.96
  4. Step 4: Simplify right side
    8,030.84x = 55,959,542.28
  5. Step 5: Solve for x
    x = 55,959,542.28/8,030.84
  6. Step 6: Final answer
    x = 6,968.08

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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.