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Finding the Fourth Proportional to 13,077.31, 18,048.26 and 7,772.12

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Solution

The fourth proportional to 13,077.31, 18,048.26 and 7,772.12 is: 10,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.31 : 18,048.26 = 7,772.12 : x
  2. Step 2: Convert to fraction form
    13,077.31/18,048.26 = 7,772.12/x
  3. Step 3: Cross multiply
    13,077.31x = 18,048.26 × 7,772.12
  4. Step 4: Simplify right side
    13,077.31x = 140,273,242.51
  5. Step 5: Solve for x
    x = 140,273,242.51/13,077.31
  6. Step 6: Final answer
    x = 10,726.46

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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.