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Finding the Fourth Proportional to 10,356.62, 14,287.58 and 6,998.21

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Solution

The fourth proportional to 10,356.62, 14,287.58 and 6,998.21 is: 9,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.62 : 14,287.58 = 6,998.21 : x
  2. Step 2: Convert to fraction form
    10,356.62/14,287.58 = 6,998.21/x
  3. Step 3: Cross multiply
    10,356.62x = 14,287.58 × 6,998.21
  4. Step 4: Simplify right side
    10,356.62x = 99,987,405.05
  5. Step 5: Solve for x
    x = 99,987,405.05/10,356.62
  6. Step 6: Final answer
    x = 9,654.45

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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.