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Finding the Fourth Proportional to 10,313.36, 14,232.62 and 5,597.64

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Solution

The fourth proportional to 10,313.36, 14,232.62 and 5,597.64 is: 7,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.36 : 14,232.62 = 5,597.64 : x
  2. Step 2: Convert to fraction form
    10,313.36/14,232.62 = 5,597.64/x
  3. Step 3: Cross multiply
    10,313.36x = 14,232.62 × 5,597.64
  4. Step 4: Simplify right side
    10,313.36x = 79,669,083.02
  5. Step 5: Solve for x
    x = 79,669,083.02/10,313.36
  6. Step 6: Final answer
    x = 7,724.84

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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.