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Finding the Fourth Proportional to 10,325.78, 14,251.65 and 6,133.22

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Solution

The fourth proportional to 10,325.78, 14,251.65 and 6,133.22 is: 8,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.78 : 14,251.65 = 6,133.22 : x
  2. Step 2: Convert to fraction form
    10,325.78/14,251.65 = 6,133.22/x
  3. Step 3: Cross multiply
    10,325.78x = 14,251.65 × 6,133.22
  4. Step 4: Simplify right side
    10,325.78x = 87,408,504.81
  5. Step 5: Solve for x
    x = 87,408,504.81/10,325.78
  6. Step 6: Final answer
    x = 8,465.08

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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.