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Finding the Fourth Proportional to 10,636.62, 14,678.52 and 5,922.01

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Solution

The fourth proportional to 10,636.62, 14,678.52 and 5,922.01 is: 8,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.62 : 14,678.52 = 5,922.01 : x
  2. Step 2: Convert to fraction form
    10,636.62/14,678.52 = 5,922.01/x
  3. Step 3: Cross multiply
    10,636.62x = 14,678.52 × 5,922.01
  4. Step 4: Simplify right side
    10,636.62x = 86,926,342.23
  5. Step 5: Solve for x
    x = 86,926,342.23/10,636.62
  6. Step 6: Final answer
    x = 8,172.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.