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Finding the Fourth Proportional to 10,190.63, 14,063.78 and 5,654.79

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Solution

The fourth proportional to 10,190.63, 14,063.78 and 5,654.79 is: 7,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.63 : 14,063.78 = 5,654.79 : x
  2. Step 2: Convert to fraction form
    10,190.63/14,063.78 = 5,654.79/x
  3. Step 3: Cross multiply
    10,190.63x = 14,063.78 × 5,654.79
  4. Step 4: Simplify right side
    10,190.63x = 79,527,722.51
  5. Step 5: Solve for x
    x = 79,527,722.51/10,190.63
  6. Step 6: Final answer
    x = 7,804.00

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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.