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Finding the Fourth Proportional to 8,552.11, 12,829.06 and 2,312.17

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Solution

The fourth proportional to 8,552.11, 12,829.06 and 2,312.17 is: 3,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.11 : 12,829.06 = 2,312.17 : x
  2. Step 2: Convert to fraction form
    8,552.11/12,829.06 = 2,312.17/x
  3. Step 3: Cross multiply
    8,552.11x = 12,829.06 × 2,312.17
  4. Step 4: Simplify right side
    8,552.11x = 29,662,967.66
  5. Step 5: Solve for x
    x = 29,662,967.66/8,552.11
  6. Step 6: Final answer
    x = 3,468.50

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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.