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Finding the Fourth Proportional to 7,837.76, 10,816.74 and 4,854.33

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Solution

The fourth proportional to 7,837.76, 10,816.74 and 4,854.33 is: 6,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.76 : 10,816.74 = 4,854.33 : x
  2. Step 2: Convert to fraction form
    7,837.76/10,816.74 = 4,854.33/x
  3. Step 3: Cross multiply
    7,837.76x = 10,816.74 × 4,854.33
  4. Step 4: Simplify right side
    7,837.76x = 52,508,025.48
  5. Step 5: Solve for x
    x = 52,508,025.48/7,837.76
  6. Step 6: Final answer
    x = 6,699.36

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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.