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Finding the Fourth Proportional to 10,011.74, 13,817.22 and 5,762.96

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Solution

The fourth proportional to 10,011.74, 13,817.22 and 5,762.96 is: 7,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.74 : 13,817.22 = 5,762.96 : x
  2. Step 2: Convert to fraction form
    10,011.74/13,817.22 = 5,762.96/x
  3. Step 3: Cross multiply
    10,011.74x = 13,817.22 × 5,762.96
  4. Step 4: Simplify right side
    10,011.74x = 79,628,017.09
  5. Step 5: Solve for x
    x = 79,628,017.09/10,011.74
  6. Step 6: Final answer
    x = 7,953.47

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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.