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Finding the Fourth Proportional to 8,468, 12,702.36 and 2,312

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Solution

The fourth proportional to 8,468, 12,702.36 and 2,312 is: 3,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468 : 12,702.36 = 2,312 : x
  2. Step 2: Convert to fraction form
    8,468/12,702.36 = 2,312/x
  3. Step 3: Cross multiply
    8,468x = 12,702.36 × 2,312
  4. Step 4: Simplify right side
    8,468x = 29,367,856.32
  5. Step 5: Solve for x
    x = 29,367,856.32/8,468
  6. Step 6: Final answer
    x = 3,468.10

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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.