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Finding the Fourth Proportional to 11,908.30, 16,430.43 and 7,431.70

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Solution

The fourth proportional to 11,908.30, 16,430.43 and 7,431.70 is: 10,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.30 : 16,430.43 = 7,431.70 : x
  2. Step 2: Convert to fraction form
    11,908.30/16,430.43 = 7,431.70/x
  3. Step 3: Cross multiply
    11,908.30x = 16,430.43 × 7,431.70
  4. Step 4: Simplify right side
    11,908.30x = 122,106,026.63
  5. Step 5: Solve for x
    x = 122,106,026.63/11,908.30
  6. Step 6: Final answer
    x = 10,253.86

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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.