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Finding the Fourth Proportional to 8,315.52, 11,470.32 and 5,664.12

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Solution

The fourth proportional to 8,315.52, 11,470.32 and 5,664.12 is: 7,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.52 : 11,470.32 = 5,664.12 : x
  2. Step 2: Convert to fraction form
    8,315.52/11,470.32 = 5,664.12/x
  3. Step 3: Cross multiply
    8,315.52x = 11,470.32 × 5,664.12
  4. Step 4: Simplify right side
    8,315.52x = 64,969,268.92
  5. Step 5: Solve for x
    x = 64,969,268.92/8,315.52
  6. Step 6: Final answer
    x = 7,813.01

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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.