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Finding the Fourth Proportional to 8,566.84, 12,852.10 and 3,019.96

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Solution

The fourth proportional to 8,566.84, 12,852.10 and 3,019.96 is: 4,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.84 : 12,852.10 = 3,019.96 : x
  2. Step 2: Convert to fraction form
    8,566.84/12,852.10 = 3,019.96/x
  3. Step 3: Cross multiply
    8,566.84x = 12,852.10 × 3,019.96
  4. Step 4: Simplify right side
    8,566.84x = 38,812,827.92
  5. Step 5: Solve for x
    x = 38,812,827.92/8,566.84
  6. Step 6: Final answer
    x = 4,530.59

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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.