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Finding the Fourth Proportional to 6,780.48, 10,223.00 and 6,738.36

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Solution

The fourth proportional to 6,780.48, 10,223.00 and 6,738.36 is: 10,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.48 : 10,223.00 = 6,738.36 : x
  2. Step 2: Convert to fraction form
    6,780.48/10,223.00 = 6,738.36/x
  3. Step 3: Cross multiply
    6,780.48x = 10,223.00 × 6,738.36
  4. Step 4: Simplify right side
    6,780.48x = 68,886,220.59
  5. Step 5: Solve for x
    x = 68,886,220.59/6,780.48
  6. Step 6: Final answer
    x = 10,159.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.