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Finding the Fourth Proportional to 8,302.10, 12,445.05 and 7,427.30

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Solution

The fourth proportional to 8,302.10, 12,445.05 and 7,427.30 is: 11,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.10 : 12,445.05 = 7,427.30 : x
  2. Step 2: Convert to fraction form
    8,302.10/12,445.05 = 7,427.30/x
  3. Step 3: Cross multiply
    8,302.10x = 12,445.05 × 7,427.30
  4. Step 4: Simplify right side
    8,302.10x = 92,433,119.87
  5. Step 5: Solve for x
    x = 92,433,119.87/8,302.10
  6. Step 6: Final answer
    x = 11,133.70

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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.