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Finding the Fourth Proportional to 11,272.96, 15,555.84 and 6,304

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Solution

The fourth proportional to 11,272.96, 15,555.84 and 6,304 is: 8,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.96 : 15,555.84 = 6,304 : x
  2. Step 2: Convert to fraction form
    11,272.96/15,555.84 = 6,304/x
  3. Step 3: Cross multiply
    11,272.96x = 15,555.84 × 6,304
  4. Step 4: Simplify right side
    11,272.96x = 98,064,015.36
  5. Step 5: Solve for x
    x = 98,064,015.36/11,272.96
  6. Step 6: Final answer
    x = 8,699.05

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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.