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Finding the Fourth Proportional to 11,667.87, 17,492.22 and 4,644.88

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Solution

The fourth proportional to 11,667.87, 17,492.22 and 4,644.88 is: 6,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.87 : 17,492.22 = 4,644.88 : x
  2. Step 2: Convert to fraction form
    11,667.87/17,492.22 = 4,644.88/x
  3. Step 3: Cross multiply
    11,667.87x = 17,492.22 × 4,644.88
  4. Step 4: Simplify right side
    11,667.87x = 81,249,219.10
  5. Step 5: Solve for x
    x = 81,249,219.10/11,667.87
  6. Step 6: Final answer
    x = 6,963.50

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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.