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Finding the Fourth Proportional to 8,307.40, 12,446.70 and 5,384.20

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Solution

The fourth proportional to 8,307.40, 12,446.70 and 5,384.20 is: 8,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.40 : 12,446.70 = 5,384.20 : x
  2. Step 2: Convert to fraction form
    8,307.40/12,446.70 = 5,384.20/x
  3. Step 3: Cross multiply
    8,307.40x = 12,446.70 × 5,384.20
  4. Step 4: Simplify right side
    8,307.40x = 67,015,522.14
  5. Step 5: Solve for x
    x = 67,015,522.14/8,307.40
  6. Step 6: Final answer
    x = 8,066.97

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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.