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Finding the Fourth Proportional to 8,564.84, 12,849.10 and 3,017.96

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Solution

The fourth proportional to 8,564.84, 12,849.10 and 3,017.96 is: 4,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.84 : 12,849.10 = 3,017.96 : x
  2. Step 2: Convert to fraction form
    8,564.84/12,849.10 = 3,017.96/x
  3. Step 3: Cross multiply
    8,564.84x = 12,849.10 × 3,017.96
  4. Step 4: Simplify right side
    8,564.84x = 38,778,069.84
  5. Step 5: Solve for x
    x = 38,778,069.84/8,564.84
  6. Step 6: Final answer
    x = 4,527.59

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Why These Related Problems?

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