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Finding the Fourth Proportional to 7,106.78, 10,661.74 and 2,176.80

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Solution

The fourth proportional to 7,106.78, 10,661.74 and 2,176.80 is: 3,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.78 : 10,661.74 = 2,176.80 : x
  2. Step 2: Convert to fraction form
    7,106.78/10,661.74 = 2,176.80/x
  3. Step 3: Cross multiply
    7,106.78x = 10,661.74 × 2,176.80
  4. Step 4: Simplify right side
    7,106.78x = 23,208,475.63
  5. Step 5: Solve for x
    x = 23,208,475.63/7,106.78
  6. Step 6: Final answer
    x = 3,265.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.