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Finding the Fourth Proportional to 8,497.69, 12,752.03 and 3,303.56

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Solution

The fourth proportional to 8,497.69, 12,752.03 and 3,303.56 is: 4,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.69 : 12,752.03 = 3,303.56 : x
  2. Step 2: Convert to fraction form
    8,497.69/12,752.03 = 3,303.56/x
  3. Step 3: Cross multiply
    8,497.69x = 12,752.03 × 3,303.56
  4. Step 4: Simplify right side
    8,497.69x = 42,127,136.37
  5. Step 5: Solve for x
    x = 42,127,136.37/8,497.69
  6. Step 6: Final answer
    x = 4,957.48

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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.