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Finding the Fourth Proportional to 10,356.24, 14,287.06 and 6,997.83

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Solution

The fourth proportional to 10,356.24, 14,287.06 and 6,997.83 is: 9,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.24 : 14,287.06 = 6,997.83 : x
  2. Step 2: Convert to fraction form
    10,356.24/14,287.06 = 6,997.83/x
  3. Step 3: Cross multiply
    10,356.24x = 14,287.06 × 6,997.83
  4. Step 4: Simplify right side
    10,356.24x = 99,978,412.16
  5. Step 5: Solve for x
    x = 99,978,412.16/10,356.24
  6. Step 6: Final answer
    x = 9,653.93

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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.