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Finding the Fourth Proportional to 7,004.56, 10,497.92 and 3,719.20

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Solution

The fourth proportional to 7,004.56, 10,497.92 and 3,719.20 is: 5,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.56 : 10,497.92 = 3,719.20 : x
  2. Step 2: Convert to fraction form
    7,004.56/10,497.92 = 3,719.20/x
  3. Step 3: Cross multiply
    7,004.56x = 10,497.92 × 3,719.20
  4. Step 4: Simplify right side
    7,004.56x = 39,043,864.06
  5. Step 5: Solve for x
    x = 39,043,864.06/7,004.56
  6. Step 6: Final answer
    x = 5,574.06

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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.