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Finding the Fourth Proportional to 10,466.42, 14,446.12 and 5,992.74

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Solution

The fourth proportional to 10,466.42, 14,446.12 and 5,992.74 is: 8,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.42 : 14,446.12 = 5,992.74 : x
  2. Step 2: Convert to fraction form
    10,466.42/14,446.12 = 5,992.74/x
  3. Step 3: Cross multiply
    10,466.42x = 14,446.12 × 5,992.74
  4. Step 4: Simplify right side
    10,466.42x = 86,571,841.17
  5. Step 5: Solve for x
    x = 86,571,841.17/10,466.42
  6. Step 6: Final answer
    x = 8,271.39

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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.