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Finding the Fourth Proportional to 6,802.54, 10,208.16 and 4,339.12

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Solution

The fourth proportional to 6,802.54, 10,208.16 and 4,339.12 is: 6,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.54 : 10,208.16 = 4,339.12 : x
  2. Step 2: Convert to fraction form
    6,802.54/10,208.16 = 4,339.12/x
  3. Step 3: Cross multiply
    6,802.54x = 10,208.16 × 4,339.12
  4. Step 4: Simplify right side
    6,802.54x = 44,294,431.22
  5. Step 5: Solve for x
    x = 44,294,431.22/6,802.54
  6. Step 6: Final answer
    x = 6,511.45

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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.