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Finding the Fourth Proportional to 13,107.12, 18,085.72 and 7,801.76

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Solution

The fourth proportional to 13,107.12, 18,085.72 and 7,801.76 is: 10,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.12 : 18,085.72 = 7,801.76 : x
  2. Step 2: Convert to fraction form
    13,107.12/18,085.72 = 7,801.76/x
  3. Step 3: Cross multiply
    13,107.12x = 18,085.72 × 7,801.76
  4. Step 4: Simplify right side
    13,107.12x = 141,100,446.87
  5. Step 5: Solve for x
    x = 141,100,446.87/13,107.12
  6. Step 6: Final answer
    x = 10,765.18

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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.