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Finding the Fourth Proportional to 7,740, 10,680.93 and 4,203.14

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Solution

The fourth proportional to 7,740, 10,680.93 and 4,203.14 is: 5,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740 : 10,680.93 = 4,203.14 : x
  2. Step 2: Convert to fraction form
    7,740/10,680.93 = 4,203.14/x
  3. Step 3: Cross multiply
    7,740x = 10,680.93 × 4,203.14
  4. Step 4: Simplify right side
    7,740x = 44,893,390.72
  5. Step 5: Solve for x
    x = 44,893,390.72/7,740
  6. Step 6: Final answer
    x = 5,800.18

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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.