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Finding the Fourth Proportional to 13,015.56, 17,963.10 and 7,712.40

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Solution

The fourth proportional to 13,015.56, 17,963.10 and 7,712.40 is: 10,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.56 : 17,963.10 = 7,712.40 : x
  2. Step 2: Convert to fraction form
    13,015.56/17,963.10 = 7,712.40/x
  3. Step 3: Cross multiply
    13,015.56x = 17,963.10 × 7,712.40
  4. Step 4: Simplify right side
    13,015.56x = 138,538,612.44
  5. Step 5: Solve for x
    x = 138,538,612.44/13,015.56
  6. Step 6: Final answer
    x = 10,644.08

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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.