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Finding the Fourth Proportional to 11,583.10, 15,972.74 and 9,910.04

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Solution

The fourth proportional to 11,583.10, 15,972.74 and 9,910.04 is: 13,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.10 : 15,972.74 = 9,910.04 : x
  2. Step 2: Convert to fraction form
    11,583.10/15,972.74 = 9,910.04/x
  3. Step 3: Cross multiply
    11,583.10x = 15,972.74 × 9,910.04
  4. Step 4: Simplify right side
    11,583.10x = 158,290,531.22
  5. Step 5: Solve for x
    x = 158,290,531.22/11,583.10
  6. Step 6: Final answer
    x = 13,665.65

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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.