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Finding the Fourth Proportional to 10,426.42, 14,381.54 and 7,443.94

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Solution

The fourth proportional to 10,426.42, 14,381.54 and 7,443.94 is: 10,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.42 : 14,381.54 = 7,443.94 : x
  2. Step 2: Convert to fraction form
    10,426.42/14,381.54 = 7,443.94/x
  3. Step 3: Cross multiply
    10,426.42x = 14,381.54 × 7,443.94
  4. Step 4: Simplify right side
    10,426.42x = 107,055,320.87
  5. Step 5: Solve for x
    x = 107,055,320.87/10,426.42
  6. Step 6: Final answer
    x = 10,267.70

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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.