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Finding the Fourth Proportional to 11,287.07, 16,924.43 and 8,962.01

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Solution

The fourth proportional to 11,287.07, 16,924.43 and 8,962.01 is: 13,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.07 : 16,924.43 = 8,962.01 : x
  2. Step 2: Convert to fraction form
    11,287.07/16,924.43 = 8,962.01/x
  3. Step 3: Cross multiply
    11,287.07x = 16,924.43 × 8,962.01
  4. Step 4: Simplify right side
    11,287.07x = 151,676,848.69
  5. Step 5: Solve for x
    x = 151,676,848.69/11,287.07
  6. Step 6: Final answer
    x = 13,438.11

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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.