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Finding the Fourth Proportional to 8,513.96, 11,748.35 and 4,736.53

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Solution

The fourth proportional to 8,513.96, 11,748.35 and 4,736.53 is: 6,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.96 : 11,748.35 = 4,736.53 : x
  2. Step 2: Convert to fraction form
    8,513.96/11,748.35 = 4,736.53/x
  3. Step 3: Cross multiply
    8,513.96x = 11,748.35 × 4,736.53
  4. Step 4: Simplify right side
    8,513.96x = 55,646,329.80
  5. Step 5: Solve for x
    x = 55,646,329.80/8,513.96
  6. Step 6: Final answer
    x = 6,535.89

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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.