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Finding the Fourth Proportional to 7,837.52, 10,802.31 and 7,468.43

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Solution

The fourth proportional to 7,837.52, 10,802.31 and 7,468.43 is: 10,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.52 : 10,802.31 = 7,468.43 : x
  2. Step 2: Convert to fraction form
    7,837.52/10,802.31 = 7,468.43/x
  3. Step 3: Cross multiply
    7,837.52x = 10,802.31 × 7,468.43
  4. Step 4: Simplify right side
    7,837.52x = 80,676,296.07
  5. Step 5: Solve for x
    x = 80,676,296.07/7,837.52
  6. Step 6: Final answer
    x = 10,293.60

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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.