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Finding the Fourth Proportional to 8,356.50, 12,533.23 and 3,090.69

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Solution

The fourth proportional to 8,356.50, 12,533.23 and 3,090.69 is: 4,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.50 : 12,533.23 = 3,090.69 : x
  2. Step 2: Convert to fraction form
    8,356.50/12,533.23 = 3,090.69/x
  3. Step 3: Cross multiply
    8,356.50x = 12,533.23 × 3,090.69
  4. Step 4: Simplify right side
    8,356.50x = 38,736,332.49
  5. Step 5: Solve for x
    x = 38,736,332.49/8,356.50
  6. Step 6: Final answer
    x = 4,635.47

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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.