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Finding the Fourth Proportional to 10,059.66, 13,881.68 and 5,583.42

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Solution

The fourth proportional to 10,059.66, 13,881.68 and 5,583.42 is: 7,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.66 : 13,881.68 = 5,583.42 : x
  2. Step 2: Convert to fraction form
    10,059.66/13,881.68 = 5,583.42/x
  3. Step 3: Cross multiply
    10,059.66x = 13,881.68 × 5,583.42
  4. Step 4: Simplify right side
    10,059.66x = 77,507,221.83
  5. Step 5: Solve for x
    x = 77,507,221.83/10,059.66
  6. Step 6: Final answer
    x = 7,704.76

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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.