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Finding the Fourth Proportional to 8,522.64, 12,766.68 and 4,410

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Solution

The fourth proportional to 8,522.64, 12,766.68 and 4,410 is: 6,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.64 : 12,766.68 = 4,410 : x
  2. Step 2: Convert to fraction form
    8,522.64/12,766.68 = 4,410/x
  3. Step 3: Cross multiply
    8,522.64x = 12,766.68 × 4,410
  4. Step 4: Simplify right side
    8,522.64x = 56,301,058.80
  5. Step 5: Solve for x
    x = 56,301,058.80/8,522.64
  6. Step 6: Final answer
    x = 6,606.06

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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.