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Finding the Fourth Proportional to 7,700.96, 11,541.84 and 3,536.54

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Solution

The fourth proportional to 7,700.96, 11,541.84 and 3,536.54 is: 5,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.96 : 11,541.84 = 3,536.54 : x
  2. Step 2: Convert to fraction form
    7,700.96/11,541.84 = 3,536.54/x
  3. Step 3: Cross multiply
    7,700.96x = 11,541.84 × 3,536.54
  4. Step 4: Simplify right side
    7,700.96x = 40,818,121.12
  5. Step 5: Solve for x
    x = 40,818,121.12/7,700.96
  6. Step 6: Final answer
    x = 5,300.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.