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Finding the Fourth Proportional to 7,543.75, 10,409.93 and 4,186.32

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Solution

The fourth proportional to 7,543.75, 10,409.93 and 4,186.32 is: 5,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.75 : 10,409.93 = 4,186.32 : x
  2. Step 2: Convert to fraction form
    7,543.75/10,409.93 = 4,186.32/x
  3. Step 3: Cross multiply
    7,543.75x = 10,409.93 × 4,186.32
  4. Step 4: Simplify right side
    7,543.75x = 43,579,225.18
  5. Step 5: Solve for x
    x = 43,579,225.18/7,543.75
  6. Step 6: Final answer
    x = 5,776.87

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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.