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Finding the Fourth Proportional to 7,861.92, 11,805.42 and 4,577.40

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Solution

The fourth proportional to 7,861.92, 11,805.42 and 4,577.40 is: 6,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.92 : 11,805.42 = 4,577.40 : x
  2. Step 2: Convert to fraction form
    7,861.92/11,805.42 = 4,577.40/x
  3. Step 3: Cross multiply
    7,861.92x = 11,805.42 × 4,577.40
  4. Step 4: Simplify right side
    7,861.92x = 54,038,129.51
  5. Step 5: Solve for x
    x = 54,038,129.51/7,861.92
  6. Step 6: Final answer
    x = 6,873.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.