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Finding the Fourth Proportional to 10,412.89, 14,354.84 and 7,423.54

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Solution

The fourth proportional to 10,412.89, 14,354.84 and 7,423.54 is: 10,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.89 : 14,354.84 = 7,423.54 : x
  2. Step 2: Convert to fraction form
    10,412.89/14,354.84 = 7,423.54/x
  3. Step 3: Cross multiply
    10,412.89x = 14,354.84 × 7,423.54
  4. Step 4: Simplify right side
    10,412.89x = 106,563,620.04
  5. Step 5: Solve for x
    x = 106,563,620.04/10,412.89
  6. Step 6: Final answer
    x = 10,233.82

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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.