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Finding the Fourth Proportional to 10,376.69, 14,322.89 and 7,233.89

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Solution

The fourth proportional to 10,376.69, 14,322.89 and 7,233.89 is: 9,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.69 : 14,322.89 = 7,233.89 : x
  2. Step 2: Convert to fraction form
    10,376.69/14,322.89 = 7,233.89/x
  3. Step 3: Cross multiply
    10,376.69x = 14,322.89 × 7,233.89
  4. Step 4: Simplify right side
    10,376.69x = 103,610,157.21
  5. Step 5: Solve for x
    x = 103,610,157.21/10,376.69
  6. Step 6: Final answer
    x = 9,984.90

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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.