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Finding the Fourth Proportional to 10,089.51, 13,923.97 and 8,408.10

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Solution

The fourth proportional to 10,089.51, 13,923.97 and 8,408.10 is: 11,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.51 : 13,923.97 = 8,408.10 : x
  2. Step 2: Convert to fraction form
    10,089.51/13,923.97 = 8,408.10/x
  3. Step 3: Cross multiply
    10,089.51x = 13,923.97 × 8,408.10
  4. Step 4: Simplify right side
    10,089.51x = 117,074,020.50
  5. Step 5: Solve for x
    x = 117,074,020.50/10,089.51
  6. Step 6: Final answer
    x = 11,603.54

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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.