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Finding the Fourth Proportional to 7,858.66, 11,772.54 and 4,564.84

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Solution

The fourth proportional to 7,858.66, 11,772.54 and 4,564.84 is: 6,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.66 : 11,772.54 = 4,564.84 : x
  2. Step 2: Convert to fraction form
    7,858.66/11,772.54 = 4,564.84/x
  3. Step 3: Cross multiply
    7,858.66x = 11,772.54 × 4,564.84
  4. Step 4: Simplify right side
    7,858.66x = 53,739,761.49
  5. Step 5: Solve for x
    x = 53,739,761.49/7,858.66
  6. Step 6: Final answer
    x = 6,838.29

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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.