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Finding the Fourth Proportional to 8,359.74, 12,533.13 and 3,739.50

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Solution

The fourth proportional to 8,359.74, 12,533.13 and 3,739.50 is: 5,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.74 : 12,533.13 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    8,359.74/12,533.13 = 3,739.50/x
  3. Step 3: Cross multiply
    8,359.74x = 12,533.13 × 3,739.50
  4. Step 4: Simplify right side
    8,359.74x = 46,867,639.64
  5. Step 5: Solve for x
    x = 46,867,639.64/8,359.74
  6. Step 6: Final answer
    x = 5,606.35

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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.