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Finding the Fourth Proportional to 8,609.76, 11,881.35 and 4,833

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Solution

The fourth proportional to 8,609.76, 11,881.35 and 4,833 is: 6,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.76 : 11,881.35 = 4,833 : x
  2. Step 2: Convert to fraction form
    8,609.76/11,881.35 = 4,833/x
  3. Step 3: Cross multiply
    8,609.76x = 11,881.35 × 4,833
  4. Step 4: Simplify right side
    8,609.76x = 57,422,564.55
  5. Step 5: Solve for x
    x = 57,422,564.55/8,609.76
  6. Step 6: Final answer
    x = 6,669.47

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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.