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Finding the Fourth Proportional to 10,531.76, 14,533.43 and 5,751.54

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Solution

The fourth proportional to 10,531.76, 14,533.43 and 5,751.54 is: 7,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.76 : 14,533.43 = 5,751.54 : x
  2. Step 2: Convert to fraction form
    10,531.76/14,533.43 = 5,751.54/x
  3. Step 3: Cross multiply
    10,531.76x = 14,533.43 × 5,751.54
  4. Step 4: Simplify right side
    10,531.76x = 83,589,575.22
  5. Step 5: Solve for x
    x = 83,589,575.22/10,531.76
  6. Step 6: Final answer
    x = 7,936.91

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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.