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Finding the Fourth Proportional to 7,543.67, 10,410.32 and 4,186.35

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Solution

The fourth proportional to 7,543.67, 10,410.32 and 4,186.35 is: 5,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.67 : 10,410.32 = 4,186.35 : x
  2. Step 2: Convert to fraction form
    7,543.67/10,410.32 = 4,186.35/x
  3. Step 3: Cross multiply
    7,543.67x = 10,410.32 × 4,186.35
  4. Step 4: Simplify right side
    7,543.67x = 43,581,253.60
  5. Step 5: Solve for x
    x = 43,581,253.60/7,543.67
  6. Step 6: Final answer
    x = 5,777.20

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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.