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Finding the Fourth Proportional to 8,519.23, 11,746.48 and 5,831.74

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Solution

The fourth proportional to 8,519.23, 11,746.48 and 5,831.74 is: 8,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.23 : 11,746.48 = 5,831.74 : x
  2. Step 2: Convert to fraction form
    8,519.23/11,746.48 = 5,831.74/x
  3. Step 3: Cross multiply
    8,519.23x = 11,746.48 × 5,831.74
  4. Step 4: Simplify right side
    8,519.23x = 68,502,417.28
  5. Step 5: Solve for x
    x = 68,502,417.28/8,519.23
  6. Step 6: Final answer
    x = 8,040.92

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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.