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Finding the Fourth Proportional to 8,442.10, 12,666.87 and 4,492.43

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Solution

The fourth proportional to 8,442.10, 12,666.87 and 4,492.43 is: 6,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.10 : 12,666.87 = 4,492.43 : x
  2. Step 2: Convert to fraction form
    8,442.10/12,666.87 = 4,492.43/x
  3. Step 3: Cross multiply
    8,442.10x = 12,666.87 × 4,492.43
  4. Step 4: Simplify right side
    8,442.10x = 56,905,015.56
  5. Step 5: Solve for x
    x = 56,905,015.56/8,442.10
  6. Step 6: Final answer
    x = 6,740.62

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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.