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Finding the Fourth Proportional to 10,574.22, 15,831.93 and 5,354.46

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Solution

The fourth proportional to 10,574.22, 15,831.93 and 5,354.46 is: 8,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.22 : 15,831.93 = 5,354.46 : x
  2. Step 2: Convert to fraction form
    10,574.22/15,831.93 = 5,354.46/x
  3. Step 3: Cross multiply
    10,574.22x = 15,831.93 × 5,354.46
  4. Step 4: Simplify right side
    10,574.22x = 84,771,435.91
  5. Step 5: Solve for x
    x = 84,771,435.91/10,574.22
  6. Step 6: Final answer
    x = 8,016.80

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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.