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Finding the Fourth Proportional to 10,803.96, 14,909.34 and 6,023.82

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Solution

The fourth proportional to 10,803.96, 14,909.34 and 6,023.82 is: 8,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.96 : 14,909.34 = 6,023.82 : x
  2. Step 2: Convert to fraction form
    10,803.96/14,909.34 = 6,023.82/x
  3. Step 3: Cross multiply
    10,803.96x = 14,909.34 × 6,023.82
  4. Step 4: Simplify right side
    10,803.96x = 89,811,180.48
  5. Step 5: Solve for x
    x = 89,811,180.48/10,803.96
  6. Step 6: Final answer
    x = 8,312.80

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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.