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Finding the Fourth Proportional to 7,832.34, 10,808.80 and 4,295.54

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Solution

The fourth proportional to 7,832.34, 10,808.80 and 4,295.54 is: 5,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.34 : 10,808.80 = 4,295.54 : x
  2. Step 2: Convert to fraction form
    7,832.34/10,808.80 = 4,295.54/x
  3. Step 3: Cross multiply
    7,832.34x = 10,808.80 × 4,295.54
  4. Step 4: Simplify right side
    7,832.34x = 46,429,649.04
  5. Step 5: Solve for x
    x = 46,429,649.04/7,832.34
  6. Step 6: Final answer
    x = 5,927.94

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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.