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Finding the Fourth Proportional to 8,522.12, 11,756.74 and 4,983.77

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Solution

The fourth proportional to 8,522.12, 11,756.74 and 4,983.77 is: 6,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.12 : 11,756.74 = 4,983.77 : x
  2. Step 2: Convert to fraction form
    8,522.12/11,756.74 = 4,983.77/x
  3. Step 3: Cross multiply
    8,522.12x = 11,756.74 × 4,983.77
  4. Step 4: Simplify right side
    8,522.12x = 58,592,888.11
  5. Step 5: Solve for x
    x = 58,592,888.11/8,522.12
  6. Step 6: Final answer
    x = 6,875.39

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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.