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Finding the Fourth Proportional to 6,837.09, 10,258.65 and 6,541.84

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Solution

The fourth proportional to 6,837.09, 10,258.65 and 6,541.84 is: 9,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.09 : 10,258.65 = 6,541.84 : x
  2. Step 2: Convert to fraction form
    6,837.09/10,258.65 = 6,541.84/x
  3. Step 3: Cross multiply
    6,837.09x = 10,258.65 × 6,541.84
  4. Step 4: Simplify right side
    6,837.09x = 67,110,446.92
  5. Step 5: Solve for x
    x = 67,110,446.92/6,837.09
  6. Step 6: Final answer
    x = 9,815.64

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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.