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Finding the Fourth Proportional to 10,447.05, 14,408.89 and 7,260.31

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Solution

The fourth proportional to 10,447.05, 14,408.89 and 7,260.31 is: 10,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.05 : 14,408.89 = 7,260.31 : x
  2. Step 2: Convert to fraction form
    10,447.05/14,408.89 = 7,260.31/x
  3. Step 3: Cross multiply
    10,447.05x = 14,408.89 × 7,260.31
  4. Step 4: Simplify right side
    10,447.05x = 104,613,008.02
  5. Step 5: Solve for x
    x = 104,613,008.02/10,447.05
  6. Step 6: Final answer
    x = 10,013.64

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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.