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Finding the Fourth Proportional to 11,705.06, 17,564.52 and 4,314.72

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Solution

The fourth proportional to 11,705.06, 17,564.52 and 4,314.72 is: 6,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.06 : 17,564.52 = 4,314.72 : x
  2. Step 2: Convert to fraction form
    11,705.06/17,564.52 = 4,314.72/x
  3. Step 3: Cross multiply
    11,705.06x = 17,564.52 × 4,314.72
  4. Step 4: Simplify right side
    11,705.06x = 75,785,985.73
  5. Step 5: Solve for x
    x = 75,785,985.73/11,705.06
  6. Step 6: Final answer
    x = 6,474.63

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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.