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Finding the Fourth Proportional to 13,104, 18,083.52 and 7,216

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Solution

The fourth proportional to 13,104, 18,083.52 and 7,216 is: 9,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104 : 18,083.52 = 7,216 : x
  2. Step 2: Convert to fraction form
    13,104/18,083.52 = 7,216/x
  3. Step 3: Cross multiply
    13,104x = 18,083.52 × 7,216
  4. Step 4: Simplify right side
    13,104x = 130,490,680.32
  5. Step 5: Solve for x
    x = 130,490,680.32/13,104
  6. Step 6: Final answer
    x = 9,958.08

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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.