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Finding the Fourth Proportional to 11,342.44, 15,653.09 and 6,307.17

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Solution

The fourth proportional to 11,342.44, 15,653.09 and 6,307.17 is: 8,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.44 : 15,653.09 = 6,307.17 : x
  2. Step 2: Convert to fraction form
    11,342.44/15,653.09 = 6,307.17/x
  3. Step 3: Cross multiply
    11,342.44x = 15,653.09 × 6,307.17
  4. Step 4: Simplify right side
    11,342.44x = 98,726,699.66
  5. Step 5: Solve for x
    x = 98,726,699.66/11,342.44
  6. Step 6: Final answer
    x = 8,704.19

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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.