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Finding the Fourth Proportional to 8,307.14, 12,465.70 and 3,376.40

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Solution

The fourth proportional to 8,307.14, 12,465.70 and 3,376.40 is: 5,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.14 : 12,465.70 = 3,376.40 : x
  2. Step 2: Convert to fraction form
    8,307.14/12,465.70 = 3,376.40/x
  3. Step 3: Cross multiply
    8,307.14x = 12,465.70 × 3,376.40
  4. Step 4: Simplify right side
    8,307.14x = 42,089,189.48
  5. Step 5: Solve for x
    x = 42,089,189.48/8,307.14
  6. Step 6: Final answer
    x = 5,066.63

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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.