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Finding the Fourth Proportional to 11,724, 17,586.22 and 5,482.32

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Solution

The fourth proportional to 11,724, 17,586.22 and 5,482.32 is: 8,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724 : 17,586.22 = 5,482.32 : x
  2. Step 2: Convert to fraction form
    11,724/17,586.22 = 5,482.32/x
  3. Step 3: Cross multiply
    11,724x = 17,586.22 × 5,482.32
  4. Step 4: Simplify right side
    11,724x = 96,413,285.63
  5. Step 5: Solve for x
    x = 96,413,285.63/11,724
  6. Step 6: Final answer
    x = 8,223.58

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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.