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Finding the Fourth Proportional to 8,196.54, 12,307.07 and 4,690.50

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Solution

The fourth proportional to 8,196.54, 12,307.07 and 4,690.50 is: 7,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.54 : 12,307.07 = 4,690.50 : x
  2. Step 2: Convert to fraction form
    8,196.54/12,307.07 = 4,690.50/x
  3. Step 3: Cross multiply
    8,196.54x = 12,307.07 × 4,690.50
  4. Step 4: Simplify right side
    8,196.54x = 57,726,311.84
  5. Step 5: Solve for x
    x = 57,726,311.84/8,196.54
  6. Step 6: Final answer
    x = 7,042.77

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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.