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Finding the Fourth Proportional to 13,052.36, 18,011.94 and 7,463

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Solution

The fourth proportional to 13,052.36, 18,011.94 and 7,463 is: 10,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.36 : 18,011.94 = 7,463 : x
  2. Step 2: Convert to fraction form
    13,052.36/18,011.94 = 7,463/x
  3. Step 3: Cross multiply
    13,052.36x = 18,011.94 × 7,463
  4. Step 4: Simplify right side
    13,052.36x = 134,423,108.22
  5. Step 5: Solve for x
    x = 134,423,108.22/13,052.36
  6. Step 6: Final answer
    x = 10,298.76

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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.