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Finding the Fourth Proportional to 10,698.26, 15,976.31 and 10,582.42

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Solution

The fourth proportional to 10,698.26, 15,976.31 and 10,582.42 is: 15,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.26 : 15,976.31 = 10,582.42 : x
  2. Step 2: Convert to fraction form
    10,698.26/15,976.31 = 10,582.42/x
  3. Step 3: Cross multiply
    10,698.26x = 15,976.31 × 10,582.42
  4. Step 4: Simplify right side
    10,698.26x = 169,067,969.56
  5. Step 5: Solve for x
    x = 169,067,969.56/10,698.26
  6. Step 6: Final answer
    x = 15,803.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.