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Finding the Fourth Proportional to 8,521.84, 11,760 and 4,795.84

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Solution

The fourth proportional to 8,521.84, 11,760 and 4,795.84 is: 6,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.84 : 11,760 = 4,795.84 : x
  2. Step 2: Convert to fraction form
    8,521.84/11,760 = 4,795.84/x
  3. Step 3: Cross multiply
    8,521.84x = 11,760 × 4,795.84
  4. Step 4: Simplify right side
    8,521.84x = 56,399,078.40
  5. Step 5: Solve for x
    x = 56,399,078.40/8,521.84
  6. Step 6: Final answer
    x = 6,618.18

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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.