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Finding the Fourth Proportional to 11,588.16, 17,376.74 and 5,346.32

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Solution

The fourth proportional to 11,588.16, 17,376.74 and 5,346.32 is: 8,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.16 : 17,376.74 = 5,346.32 : x
  2. Step 2: Convert to fraction form
    11,588.16/17,376.74 = 5,346.32/x
  3. Step 3: Cross multiply
    11,588.16x = 17,376.74 × 5,346.32
  4. Step 4: Simplify right side
    11,588.16x = 92,901,612.60
  5. Step 5: Solve for x
    x = 92,901,612.60/11,588.16
  6. Step 6: Final answer
    x = 8,016.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.