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Finding the Fourth Proportional to 10,007.75, 13,810.34 and 5,531.42

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Solution

The fourth proportional to 10,007.75, 13,810.34 and 5,531.42 is: 7,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.75 : 13,810.34 = 5,531.42 : x
  2. Step 2: Convert to fraction form
    10,007.75/13,810.34 = 5,531.42/x
  3. Step 3: Cross multiply
    10,007.75x = 13,810.34 × 5,531.42
  4. Step 4: Simplify right side
    10,007.75x = 76,390,694.17
  5. Step 5: Solve for x
    x = 76,390,694.17/10,007.75
  6. Step 6: Final answer
    x = 7,633.16

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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.