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Finding the Fourth Proportional to 10,653.11, 15,968.86 and 5,098.31

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Solution

The fourth proportional to 10,653.11, 15,968.86 and 5,098.31 is: 7,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.11 : 15,968.86 = 5,098.31 : x
  2. Step 2: Convert to fraction form
    10,653.11/15,968.86 = 5,098.31/x
  3. Step 3: Cross multiply
    10,653.11x = 15,968.86 × 5,098.31
  4. Step 4: Simplify right side
    10,653.11x = 81,414,198.63
  5. Step 5: Solve for x
    x = 81,414,198.63/10,653.11
  6. Step 6: Final answer
    x = 7,642.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.