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Finding the Fourth Proportional to 8,336, 12,503.44 and 5,048.16

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Solution

The fourth proportional to 8,336, 12,503.44 and 5,048.16 is: 7,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336 : 12,503.44 = 5,048.16 : x
  2. Step 2: Convert to fraction form
    8,336/12,503.44 = 5,048.16/x
  3. Step 3: Cross multiply
    8,336x = 12,503.44 × 5,048.16
  4. Step 4: Simplify right side
    8,336x = 63,119,365.67
  5. Step 5: Solve for x
    x = 63,119,365.67/8,336
  6. Step 6: Final answer
    x = 7,571.90

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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.