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Finding the Fourth Proportional to 10,412.32, 14,376.12 and 7,724.24

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Solution

The fourth proportional to 10,412.32, 14,376.12 and 7,724.24 is: 10,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.32 : 14,376.12 = 7,724.24 : x
  2. Step 2: Convert to fraction form
    10,412.32/14,376.12 = 7,724.24/x
  3. Step 3: Cross multiply
    10,412.32x = 14,376.12 × 7,724.24
  4. Step 4: Simplify right side
    10,412.32x = 111,044,601.15
  5. Step 5: Solve for x
    x = 111,044,601.15/10,412.32
  6. Step 6: Final answer
    x = 10,664.73

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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.