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Finding the Fourth Proportional to 13,077.10, 18,047.91 and 7,771.87

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Solution

The fourth proportional to 13,077.10, 18,047.91 and 7,771.87 is: 10,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.10 : 18,047.91 = 7,771.87 : x
  2. Step 2: Convert to fraction form
    13,077.10/18,047.91 = 7,771.87/x
  3. Step 3: Cross multiply
    13,077.10x = 18,047.91 × 7,771.87
  4. Step 4: Simplify right side
    13,077.10x = 140,266,010.29
  5. Step 5: Solve for x
    x = 140,266,010.29/13,077.10
  6. Step 6: Final answer
    x = 10,726.08

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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.