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Finding the Fourth Proportional to 12,790.74, 17,646.52 and 7,751.32

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Solution

The fourth proportional to 12,790.74, 17,646.52 and 7,751.32 is: 10,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.74 : 17,646.52 = 7,751.32 : x
  2. Step 2: Convert to fraction form
    12,790.74/17,646.52 = 7,751.32/x
  3. Step 3: Cross multiply
    12,790.74x = 17,646.52 × 7,751.32
  4. Step 4: Simplify right side
    12,790.74x = 136,783,823.41
  5. Step 5: Solve for x
    x = 136,783,823.41/12,790.74
  6. Step 6: Final answer
    x = 10,693.97

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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.