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Finding the Fourth Proportional to 11,272.16, 15,555.60 and 6,304.16

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Solution

The fourth proportional to 11,272.16, 15,555.60 and 6,304.16 is: 8,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.16 : 15,555.60 = 6,304.16 : x
  2. Step 2: Convert to fraction form
    11,272.16/15,555.60 = 6,304.16/x
  3. Step 3: Cross multiply
    11,272.16x = 15,555.60 × 6,304.16
  4. Step 4: Simplify right side
    11,272.16x = 98,064,991.30
  5. Step 5: Solve for x
    x = 98,064,991.30/11,272.16
  6. Step 6: Final answer
    x = 8,699.75

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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.