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Finding the Fourth Proportional to 10,461, 14,423.38 and 8,215.88

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Solution

The fourth proportional to 10,461, 14,423.38 and 8,215.88 is: 11,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461 : 14,423.38 = 8,215.88 : x
  2. Step 2: Convert to fraction form
    10,461/14,423.38 = 8,215.88/x
  3. Step 3: Cross multiply
    10,461x = 14,423.38 × 8,215.88
  4. Step 4: Simplify right side
    10,461x = 118,500,759.27
  5. Step 5: Solve for x
    x = 118,500,759.27/10,461
  6. Step 6: Final answer
    x = 11,327.86

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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.