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Finding the Fourth Proportional to 8,504.24, 11,735.40 and 4,778

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Solution

The fourth proportional to 8,504.24, 11,735.40 and 4,778 is: 6,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.24 : 11,735.40 = 4,778 : x
  2. Step 2: Convert to fraction form
    8,504.24/11,735.40 = 4,778/x
  3. Step 3: Cross multiply
    8,504.24x = 11,735.40 × 4,778
  4. Step 4: Simplify right side
    8,504.24x = 56,071,741.20
  5. Step 5: Solve for x
    x = 56,071,741.20/8,504.24
  6. Step 6: Final answer
    x = 6,593.39

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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.