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Finding the Fourth Proportional to 10,501.50, 14,494.20 and 6,028.34

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Solution

The fourth proportional to 10,501.50, 14,494.20 and 6,028.34 is: 8,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.50 : 14,494.20 = 6,028.34 : x
  2. Step 2: Convert to fraction form
    10,501.50/14,494.20 = 6,028.34/x
  3. Step 3: Cross multiply
    10,501.50x = 14,494.20 × 6,028.34
  4. Step 4: Simplify right side
    10,501.50x = 87,375,893.16
  5. Step 5: Solve for x
    x = 87,375,893.16/10,501.50
  6. Step 6: Final answer
    x = 8,320.33

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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.