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Finding the Fourth Proportional to 11,382.78, 15,705.59 and 6,905.64

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Solution

The fourth proportional to 11,382.78, 15,705.59 and 6,905.64 is: 9,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.78 : 15,705.59 = 6,905.64 : x
  2. Step 2: Convert to fraction form
    11,382.78/15,705.59 = 6,905.64/x
  3. Step 3: Cross multiply
    11,382.78x = 15,705.59 × 6,905.64
  4. Step 4: Simplify right side
    11,382.78x = 108,457,150.53
  5. Step 5: Solve for x
    x = 108,457,150.53/11,382.78
  6. Step 6: Final answer
    x = 9,528.18

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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.