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Finding the Fourth Proportional to 7,740.72, 10,682.24 and 4,203.99

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Solution

The fourth proportional to 7,740.72, 10,682.24 and 4,203.99 is: 5,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.72 : 10,682.24 = 4,203.99 : x
  2. Step 2: Convert to fraction form
    7,740.72/10,682.24 = 4,203.99/x
  3. Step 3: Cross multiply
    7,740.72x = 10,682.24 × 4,203.99
  4. Step 4: Simplify right side
    7,740.72x = 44,908,009.12
  5. Step 5: Solve for x
    x = 44,908,009.12/7,740.72
  6. Step 6: Final answer
    x = 5,801.53

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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.