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Finding the Fourth Proportional to 10,905.30, 16,348.23 and 4,327.02

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Solution

The fourth proportional to 10,905.30, 16,348.23 and 4,327.02 is: 6,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.30 : 16,348.23 = 4,327.02 : x
  2. Step 2: Convert to fraction form
    10,905.30/16,348.23 = 4,327.02/x
  3. Step 3: Cross multiply
    10,905.30x = 16,348.23 × 4,327.02
  4. Step 4: Simplify right side
    10,905.30x = 70,739,118.17
  5. Step 5: Solve for x
    x = 70,739,118.17/10,905.30
  6. Step 6: Final answer
    x = 6,486.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.