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Finding the Fourth Proportional to 10,422.42, 14,376.02 and 7,439.94

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Solution

The fourth proportional to 10,422.42, 14,376.02 and 7,439.94 is: 10,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.42 : 14,376.02 = 7,439.94 : x
  2. Step 2: Convert to fraction form
    10,422.42/14,376.02 = 7,439.94/x
  3. Step 3: Cross multiply
    10,422.42x = 14,376.02 × 7,439.94
  4. Step 4: Simplify right side
    10,422.42x = 106,956,726.24
  5. Step 5: Solve for x
    x = 106,956,726.24/10,422.42
  6. Step 6: Final answer
    x = 10,262.18

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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.