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Finding the Fourth Proportional to 8,352.06, 12,533.79 and 5,390.50

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Solution

The fourth proportional to 8,352.06, 12,533.79 and 5,390.50 is: 8,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.06 : 12,533.79 = 5,390.50 : x
  2. Step 2: Convert to fraction form
    8,352.06/12,533.79 = 5,390.50/x
  3. Step 3: Cross multiply
    8,352.06x = 12,533.79 × 5,390.50
  4. Step 4: Simplify right side
    8,352.06x = 67,563,377.05
  5. Step 5: Solve for x
    x = 67,563,377.05/8,352.06
  6. Step 6: Final answer
    x = 8,089.42

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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.