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Finding the Fourth Proportional to 10,421.88, 14,372.10 and 8,828.39

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Solution

The fourth proportional to 10,421.88, 14,372.10 and 8,828.39 is: 12,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.88 : 14,372.10 = 8,828.39 : x
  2. Step 2: Convert to fraction form
    10,421.88/14,372.10 = 8,828.39/x
  3. Step 3: Cross multiply
    10,421.88x = 14,372.10 × 8,828.39
  4. Step 4: Simplify right side
    10,421.88x = 126,882,432.06
  5. Step 5: Solve for x
    x = 126,882,432.06/10,421.88
  6. Step 6: Final answer
    x = 12,174.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.