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Finding the Fourth Proportional to 12,828.29, 17,698.16 and 7,790.60

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Solution

The fourth proportional to 12,828.29, 17,698.16 and 7,790.60 is: 10,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.29 : 17,698.16 = 7,790.60 : x
  2. Step 2: Convert to fraction form
    12,828.29/17,698.16 = 7,790.60/x
  3. Step 3: Cross multiply
    12,828.29x = 17,698.16 × 7,790.60
  4. Step 4: Simplify right side
    12,828.29x = 137,879,157.85
  5. Step 5: Solve for x
    x = 137,879,157.85/12,828.29
  6. Step 6: Final answer
    x = 10,748.06

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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.