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Finding the Fourth Proportional to 11,344.93, 17,020.85 and 5,802.16

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Solution

The fourth proportional to 11,344.93, 17,020.85 and 5,802.16 is: 8,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.93 : 17,020.85 = 5,802.16 : x
  2. Step 2: Convert to fraction form
    11,344.93/17,020.85 = 5,802.16/x
  3. Step 3: Cross multiply
    11,344.93x = 17,020.85 × 5,802.16
  4. Step 4: Simplify right side
    11,344.93x = 98,757,695.04
  5. Step 5: Solve for x
    x = 98,757,695.04/11,344.93
  6. Step 6: Final answer
    x = 8,705.01

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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.