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Finding the Fourth Proportional to 7,740.84, 10,682.43 and 4,204.08

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Solution

The fourth proportional to 7,740.84, 10,682.43 and 4,204.08 is: 5,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.84 : 10,682.43 = 4,204.08 : x
  2. Step 2: Convert to fraction form
    7,740.84/10,682.43 = 4,204.08/x
  3. Step 3: Cross multiply
    7,740.84x = 10,682.43 × 4,204.08
  4. Step 4: Simplify right side
    7,740.84x = 44,909,790.31
  5. Step 5: Solve for x
    x = 44,909,790.31/7,740.84
  6. Step 6: Final answer
    x = 5,801.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.