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Finding the Fourth Proportional to 8,307.84, 12,458.25 and 3,374.00

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Solution

The fourth proportional to 8,307.84, 12,458.25 and 3,374.00 is: 5,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.84 : 12,458.25 = 3,374.00 : x
  2. Step 2: Convert to fraction form
    8,307.84/12,458.25 = 3,374.00/x
  3. Step 3: Cross multiply
    8,307.84x = 12,458.25 × 3,374.00
  4. Step 4: Simplify right side
    8,307.84x = 42,034,073.21
  5. Step 5: Solve for x
    x = 42,034,073.21/8,307.84
  6. Step 6: Final answer
    x = 5,059.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.