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Finding the Fourth Proportional to 10,558.91, 15,831.99 and 7,268.42

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Solution

The fourth proportional to 10,558.91, 15,831.99 and 7,268.42 is: 10,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.91 : 15,831.99 = 7,268.42 : x
  2. Step 2: Convert to fraction form
    10,558.91/15,831.99 = 7,268.42/x
  3. Step 3: Cross multiply
    10,558.91x = 15,831.99 × 7,268.42
  4. Step 4: Simplify right side
    10,558.91x = 115,073,473.60
  5. Step 5: Solve for x
    x = 115,073,473.60/10,558.91
  6. Step 6: Final answer
    x = 10,898.24

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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.