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Finding the Fourth Proportional to 10,007.94, 13,810.82 and 5,531.88

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Solution

The fourth proportional to 10,007.94, 13,810.82 and 5,531.88 is: 7,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.94 : 13,810.82 = 5,531.88 : x
  2. Step 2: Convert to fraction form
    10,007.94/13,810.82 = 5,531.88/x
  3. Step 3: Cross multiply
    10,007.94x = 13,810.82 × 5,531.88
  4. Step 4: Simplify right side
    10,007.94x = 76,399,798.94
  5. Step 5: Solve for x
    x = 76,399,798.94/10,007.94
  6. Step 6: Final answer
    x = 7,633.92

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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.