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Finding the Fourth Proportional to 11,470.64, 15,837.12 and 8,813.36

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Solution

The fourth proportional to 11,470.64, 15,837.12 and 8,813.36 is: 12,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.64 : 15,837.12 = 8,813.36 : x
  2. Step 2: Convert to fraction form
    11,470.64/15,837.12 = 8,813.36/x
  3. Step 3: Cross multiply
    11,470.64x = 15,837.12 × 8,813.36
  4. Step 4: Simplify right side
    11,470.64x = 139,578,239.92
  5. Step 5: Solve for x
    x = 139,578,239.92/11,470.64
  6. Step 6: Final answer
    x = 12,168.30

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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.