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Finding the Fourth Proportional to 7,804.46, 11,708.76 and 2,258.26

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Solution

The fourth proportional to 7,804.46, 11,708.76 and 2,258.26 is: 3,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.46 : 11,708.76 = 2,258.26 : x
  2. Step 2: Convert to fraction form
    7,804.46/11,708.76 = 2,258.26/x
  3. Step 3: Cross multiply
    7,804.46x = 11,708.76 × 2,258.26
  4. Step 4: Simplify right side
    7,804.46x = 26,441,424.36
  5. Step 5: Solve for x
    x = 26,441,424.36/7,804.46
  6. Step 6: Final answer
    x = 3,387.99

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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.