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Finding the Fourth Proportional to 8,443.72, 11,653.14 and 4,908.52

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Solution

The fourth proportional to 8,443.72, 11,653.14 and 4,908.52 is: 6,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.72 : 11,653.14 = 4,908.52 : x
  2. Step 2: Convert to fraction form
    8,443.72/11,653.14 = 4,908.52/x
  3. Step 3: Cross multiply
    8,443.72x = 11,653.14 × 4,908.52
  4. Step 4: Simplify right side
    8,443.72x = 57,199,670.75
  5. Step 5: Solve for x
    x = 57,199,670.75/8,443.72
  6. Step 6: Final answer
    x = 6,774.23

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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.