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Finding the Fourth Proportional to 10,429.70, 14,381.70 and 7,444.31

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Solution

The fourth proportional to 10,429.70, 14,381.70 and 7,444.31 is: 10,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.70 : 14,381.70 = 7,444.31 : x
  2. Step 2: Convert to fraction form
    10,429.70/14,381.70 = 7,444.31/x
  3. Step 3: Cross multiply
    10,429.70x = 14,381.70 × 7,444.31
  4. Step 4: Simplify right side
    10,429.70x = 107,061,833.13
  5. Step 5: Solve for x
    x = 107,061,833.13/10,429.70
  6. Step 6: Final answer
    x = 10,265.09

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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.