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Finding the Fourth Proportional to 8,724, 13,090.20 and 4,341.84

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Solution

The fourth proportional to 8,724, 13,090.20 and 4,341.84 is: 6,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 13,090.20 = 4,341.84 : x
  2. Step 2: Convert to fraction form
    8,724/13,090.20 = 4,341.84/x
  3. Step 3: Cross multiply
    8,724x = 13,090.20 × 4,341.84
  4. Step 4: Simplify right side
    8,724x = 56,835,553.97
  5. Step 5: Solve for x
    x = 56,835,553.97/8,724
  6. Step 6: Final answer
    x = 6,514.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.