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Finding the Fourth Proportional to 10,804.75, 16,209.09 and 5,258.10

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Solution

The fourth proportional to 10,804.75, 16,209.09 and 5,258.10 is: 7,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.75 : 16,209.09 = 5,258.10 : x
  2. Step 2: Convert to fraction form
    10,804.75/16,209.09 = 5,258.10/x
  3. Step 3: Cross multiply
    10,804.75x = 16,209.09 × 5,258.10
  4. Step 4: Simplify right side
    10,804.75x = 85,228,970.95
  5. Step 5: Solve for x
    x = 85,228,970.95/10,804.75
  6. Step 6: Final answer
    x = 7,888.10

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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.