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Finding the Fourth Proportional to 7,543.52, 10,409.21 and 4,185.46

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Solution

The fourth proportional to 7,543.52, 10,409.21 and 4,185.46 is: 5,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.52 : 10,409.21 = 4,185.46 : x
  2. Step 2: Convert to fraction form
    7,543.52/10,409.21 = 4,185.46/x
  3. Step 3: Cross multiply
    7,543.52x = 10,409.21 × 4,185.46
  4. Step 4: Simplify right side
    7,543.52x = 43,567,311.16
  5. Step 5: Solve for x
    x = 43,567,311.16/7,543.52
  6. Step 6: Final answer
    x = 5,775.46

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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.