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Finding the Fourth Proportional to 12,828.25, 17,698.12 and 7,790.57

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Solution

The fourth proportional to 12,828.25, 17,698.12 and 7,790.57 is: 10,748.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.25 : 17,698.12 = 7,790.57 : x
  2. Step 2: Convert to fraction form
    12,828.25/17,698.12 = 7,790.57/x
  3. Step 3: Cross multiply
    12,828.25x = 17,698.12 × 7,790.57
  4. Step 4: Simplify right side
    12,828.25x = 137,878,442.73
  5. Step 5: Solve for x
    x = 137,878,442.73/12,828.25
  6. Step 6: Final answer
    x = 10,748.03

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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.