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Finding the Fourth Proportional to 7,138.32, 10,706.32 and 2,140.64

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Solution

The fourth proportional to 7,138.32, 10,706.32 and 2,140.64 is: 3,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.32 : 10,706.32 = 2,140.64 : x
  2. Step 2: Convert to fraction form
    7,138.32/10,706.32 = 2,140.64/x
  3. Step 3: Cross multiply
    7,138.32x = 10,706.32 × 2,140.64
  4. Step 4: Simplify right side
    7,138.32x = 22,918,376.84
  5. Step 5: Solve for x
    x = 22,918,376.84/7,138.32
  6. Step 6: Final answer
    x = 3,210.61

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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.