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Finding the Fourth Proportional to 8,326.16, 11,470.55 and 5,803.68

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Solution

The fourth proportional to 8,326.16, 11,470.55 and 5,803.68 is: 7,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.16 : 11,470.55 = 5,803.68 : x
  2. Step 2: Convert to fraction form
    8,326.16/11,470.55 = 5,803.68/x
  3. Step 3: Cross multiply
    8,326.16x = 11,470.55 × 5,803.68
  4. Step 4: Simplify right side
    8,326.16x = 66,571,401.62
  5. Step 5: Solve for x
    x = 66,571,401.62/8,326.16
  6. Step 6: Final answer
    x = 7,995.45

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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.