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Finding the Fourth Proportional to 8,319.61, 11,480.12 and 4,783.96

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Solution

The fourth proportional to 8,319.61, 11,480.12 and 4,783.96 is: 6,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.61 : 11,480.12 = 4,783.96 : x
  2. Step 2: Convert to fraction form
    8,319.61/11,480.12 = 4,783.96/x
  3. Step 3: Cross multiply
    8,319.61x = 11,480.12 × 4,783.96
  4. Step 4: Simplify right side
    8,319.61x = 54,920,382.26
  5. Step 5: Solve for x
    x = 54,920,382.26/8,319.61
  6. Step 6: Final answer
    x = 6,601.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.