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Finding the Fourth Proportional to 10,043.63, 13,859.82 and 5,567.46

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Solution

The fourth proportional to 10,043.63, 13,859.82 and 5,567.46 is: 7,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.63 : 13,859.82 = 5,567.46 : x
  2. Step 2: Convert to fraction form
    10,043.63/13,859.82 = 5,567.46/x
  3. Step 3: Cross multiply
    10,043.63x = 13,859.82 × 5,567.46
  4. Step 4: Simplify right side
    10,043.63x = 77,163,993.46
  5. Step 5: Solve for x
    x = 77,163,993.46/10,043.63
  6. Step 6: Final answer
    x = 7,682.88

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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.