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Finding the Fourth Proportional to 13,752.57, 18,977.40 and 7,782.87

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Solution

The fourth proportional to 13,752.57, 18,977.40 and 7,782.87 is: 10,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.57 : 18,977.40 = 7,782.87 : x
  2. Step 2: Convert to fraction form
    13,752.57/18,977.40 = 7,782.87/x
  3. Step 3: Cross multiply
    13,752.57x = 18,977.40 × 7,782.87
  4. Step 4: Simplify right side
    13,752.57x = 147,698,637.14
  5. Step 5: Solve for x
    x = 147,698,637.14/13,752.57
  6. Step 6: Final answer
    x = 10,739.71

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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.