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Finding the Fourth Proportional to 10,308.32, 14,225.48 and 5,831.97

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Solution

The fourth proportional to 10,308.32, 14,225.48 and 5,831.97 is: 8,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.32 : 14,225.48 = 5,831.97 : x
  2. Step 2: Convert to fraction form
    10,308.32/14,225.48 = 5,831.97/x
  3. Step 3: Cross multiply
    10,308.32x = 14,225.48 × 5,831.97
  4. Step 4: Simplify right side
    10,308.32x = 82,962,543.44
  5. Step 5: Solve for x
    x = 82,962,543.44/10,308.32
  6. Step 6: Final answer
    x = 8,048.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.