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Finding the Fourth Proportional to 11,342.82, 15,653.78 and 6,308.16

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Solution

The fourth proportional to 11,342.82, 15,653.78 and 6,308.16 is: 8,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.82 : 15,653.78 = 6,308.16 : x
  2. Step 2: Convert to fraction form
    11,342.82/15,653.78 = 6,308.16/x
  3. Step 3: Cross multiply
    11,342.82x = 15,653.78 × 6,308.16
  4. Step 4: Simplify right side
    11,342.82x = 98,746,548.84
  5. Step 5: Solve for x
    x = 98,746,548.84/11,342.82
  6. Step 6: Final answer
    x = 8,705.64

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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.