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Finding the Fourth Proportional to 10,803.85, 14,909.27 and 6,023.73

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Solution

The fourth proportional to 10,803.85, 14,909.27 and 6,023.73 is: 8,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.85 : 14,909.27 = 6,023.73 : x
  2. Step 2: Convert to fraction form
    10,803.85/14,909.27 = 6,023.73/x
  3. Step 3: Cross multiply
    10,803.85x = 14,909.27 × 6,023.73
  4. Step 4: Simplify right side
    10,803.85x = 89,809,442.77
  5. Step 5: Solve for x
    x = 89,809,442.77/10,803.85
  6. Step 6: Final answer
    x = 8,312.73

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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.