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Finding the Fourth Proportional to 7,106.42, 10,661.74 and 3,411.77

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Solution

The fourth proportional to 7,106.42, 10,661.74 and 3,411.77 is: 5,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.42 : 10,661.74 = 3,411.77 : x
  2. Step 2: Convert to fraction form
    7,106.42/10,661.74 = 3,411.77/x
  3. Step 3: Cross multiply
    7,106.42x = 10,661.74 × 3,411.77
  4. Step 4: Simplify right side
    7,106.42x = 36,375,342.84
  5. Step 5: Solve for x
    x = 36,375,342.84/7,106.42
  6. Step 6: Final answer
    x = 5,118.66

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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.