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Finding the Fourth Proportional to 8,293.24, 12,435.18 and 3,097

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Solution

The fourth proportional to 8,293.24, 12,435.18 and 3,097 is: 4,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.24 : 12,435.18 = 3,097 : x
  2. Step 2: Convert to fraction form
    8,293.24/12,435.18 = 3,097/x
  3. Step 3: Cross multiply
    8,293.24x = 12,435.18 × 3,097
  4. Step 4: Simplify right side
    8,293.24x = 38,511,752.46
  5. Step 5: Solve for x
    x = 38,511,752.46/8,293.24
  6. Step 6: Final answer
    x = 4,643.75

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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.