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Finding the Fourth Proportional to 10,052.91, 13,873.17 and 6,023.67

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Solution

The fourth proportional to 10,052.91, 13,873.17 and 6,023.67 is: 8,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.91 : 13,873.17 = 6,023.67 : x
  2. Step 2: Convert to fraction form
    10,052.91/13,873.17 = 6,023.67/x
  3. Step 3: Cross multiply
    10,052.91x = 13,873.17 × 6,023.67
  4. Step 4: Simplify right side
    10,052.91x = 83,567,368.50
  5. Step 5: Solve for x
    x = 83,567,368.50/10,052.91
  6. Step 6: Final answer
    x = 8,312.75

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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.