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Finding the Fourth Proportional to 13,752.13, 18,976.55 and 7,782.76

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Solution

The fourth proportional to 13,752.13, 18,976.55 and 7,782.76 is: 10,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.13 : 18,976.55 = 7,782.76 : x
  2. Step 2: Convert to fraction form
    13,752.13/18,976.55 = 7,782.76/x
  3. Step 3: Cross multiply
    13,752.13x = 18,976.55 × 7,782.76
  4. Step 4: Simplify right side
    13,752.13x = 147,689,931.38
  5. Step 5: Solve for x
    x = 147,689,931.38/13,752.13
  6. Step 6: Final answer
    x = 10,739.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.