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Finding the Fourth Proportional to 10,376.64, 14,324.41 and 7,029.62

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Solution

The fourth proportional to 10,376.64, 14,324.41 and 7,029.62 is: 9,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.64 : 14,324.41 = 7,029.62 : x
  2. Step 2: Convert to fraction form
    10,376.64/14,324.41 = 7,029.62/x
  3. Step 3: Cross multiply
    10,376.64x = 14,324.41 × 7,029.62
  4. Step 4: Simplify right side
    10,376.64x = 100,695,159.02
  5. Step 5: Solve for x
    x = 100,695,159.02/10,376.64
  6. Step 6: Final answer
    x = 9,704.02

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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.