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Finding the Fourth Proportional to 7,861.04, 10,848 and 4,324.25

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Solution

The fourth proportional to 7,861.04, 10,848 and 4,324.25 is: 5,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.04 : 10,848 = 4,324.25 : x
  2. Step 2: Convert to fraction form
    7,861.04/10,848 = 4,324.25/x
  3. Step 3: Cross multiply
    7,861.04x = 10,848 × 4,324.25
  4. Step 4: Simplify right side
    7,861.04x = 46,909,409.76
  5. Step 5: Solve for x
    x = 46,909,409.76/7,861.04
  6. Step 6: Final answer
    x = 5,967.33

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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.