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Finding the Fourth Proportional to 8,307.54, 12,461.36 and 2,464.20

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Solution

The fourth proportional to 8,307.54, 12,461.36 and 2,464.20 is: 3,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.54 : 12,461.36 = 2,464.20 : x
  2. Step 2: Convert to fraction form
    8,307.54/12,461.36 = 2,464.20/x
  3. Step 3: Cross multiply
    8,307.54x = 12,461.36 × 2,464.20
  4. Step 4: Simplify right side
    8,307.54x = 30,707,270.99
  5. Step 5: Solve for x
    x = 30,707,270.99/8,307.54
  6. Step 6: Final answer
    x = 3,696.31

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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.