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Finding the Fourth Proportional to 10,051.56, 13,871.14 and 5,575.99

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Solution

The fourth proportional to 10,051.56, 13,871.14 and 5,575.99 is: 7,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.56 : 13,871.14 = 5,575.99 : x
  2. Step 2: Convert to fraction form
    10,051.56/13,871.14 = 5,575.99/x
  3. Step 3: Cross multiply
    10,051.56x = 13,871.14 × 5,575.99
  4. Step 4: Simplify right side
    10,051.56x = 77,345,337.93
  5. Step 5: Solve for x
    x = 77,345,337.93/10,051.56
  6. Step 6: Final answer
    x = 7,694.86

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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.