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Finding the Fourth Proportional to 8,483, 11,707.62 and 4,757

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Solution

The fourth proportional to 8,483, 11,707.62 and 4,757 is: 6,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483 : 11,707.62 = 4,757 : x
  2. Step 2: Convert to fraction form
    8,483/11,707.62 = 4,757/x
  3. Step 3: Cross multiply
    8,483x = 11,707.62 × 4,757
  4. Step 4: Simplify right side
    8,483x = 55,693,148.34
  5. Step 5: Solve for x
    x = 55,693,148.34/8,483
  6. Step 6: Final answer
    x = 6,565.27

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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.