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Finding the Fourth Proportional to 8,444.98, 11,653.89 and 4,668

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Solution

The fourth proportional to 8,444.98, 11,653.89 and 4,668 is: 6,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.98 : 11,653.89 = 4,668 : x
  2. Step 2: Convert to fraction form
    8,444.98/11,653.89 = 4,668/x
  3. Step 3: Cross multiply
    8,444.98x = 11,653.89 × 4,668
  4. Step 4: Simplify right side
    8,444.98x = 54,400,341.02
  5. Step 5: Solve for x
    x = 54,400,341.02/8,444.98
  6. Step 6: Final answer
    x = 6,441.74

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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.