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Finding the Fourth Proportional to 10,449.86, 14,421.04 and 5,974.02

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Solution

The fourth proportional to 10,449.86, 14,421.04 and 5,974.02 is: 8,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.86 : 14,421.04 = 5,974.02 : x
  2. Step 2: Convert to fraction form
    10,449.86/14,421.04 = 5,974.02/x
  3. Step 3: Cross multiply
    10,449.86x = 14,421.04 × 5,974.02
  4. Step 4: Simplify right side
    10,449.86x = 86,151,566.45
  5. Step 5: Solve for x
    x = 86,151,566.45/10,449.86
  6. Step 6: Final answer
    x = 8,244.28

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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.