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Finding the Fourth Proportional to 10,531.49, 14,533.36 and 5,751.41

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Solution

The fourth proportional to 10,531.49, 14,533.36 and 5,751.41 is: 7,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.49 : 14,533.36 = 5,751.41 : x
  2. Step 2: Convert to fraction form
    10,531.49/14,533.36 = 5,751.41/x
  3. Step 3: Cross multiply
    10,531.49x = 14,533.36 × 5,751.41
  4. Step 4: Simplify right side
    10,531.49x = 83,587,224.99
  5. Step 5: Solve for x
    x = 83,587,224.99/10,531.49
  6. Step 6: Final answer
    x = 7,936.89

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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.