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Finding the Fourth Proportional to 12,763.31, 17,613.75 and 7,728.45

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Solution

The fourth proportional to 12,763.31, 17,613.75 and 7,728.45 is: 10,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.31 : 17,613.75 = 7,728.45 : x
  2. Step 2: Convert to fraction form
    12,763.31/17,613.75 = 7,728.45/x
  3. Step 3: Cross multiply
    12,763.31x = 17,613.75 × 7,728.45
  4. Step 4: Simplify right side
    12,763.31x = 136,126,986.19
  5. Step 5: Solve for x
    x = 136,126,986.19/12,763.31
  6. Step 6: Final answer
    x = 10,665.50

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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.