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Finding the Fourth Proportional to 7,108.92, 9,802.08 and 5,845.32

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Solution

The fourth proportional to 7,108.92, 9,802.08 and 5,845.32 is: 8,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.92 : 9,802.08 = 5,845.32 : x
  2. Step 2: Convert to fraction form
    7,108.92/9,802.08 = 5,845.32/x
  3. Step 3: Cross multiply
    7,108.92x = 9,802.08 × 5,845.32
  4. Step 4: Simplify right side
    7,108.92x = 57,296,294.27
  5. Step 5: Solve for x
    x = 57,296,294.27/7,108.92
  6. Step 6: Final answer
    x = 8,059.77

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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.