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Finding the Fourth Proportional to 7,842.51, 11,763.08 and 2,577.40

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Solution

The fourth proportional to 7,842.51, 11,763.08 and 2,577.40 is: 3,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.51 : 11,763.08 = 2,577.40 : x
  2. Step 2: Convert to fraction form
    7,842.51/11,763.08 = 2,577.40/x
  3. Step 3: Cross multiply
    7,842.51x = 11,763.08 × 2,577.40
  4. Step 4: Simplify right side
    7,842.51x = 30,318,139.43
  5. Step 5: Solve for x
    x = 30,318,139.43/7,842.51
  6. Step 6: Final answer
    x = 3,865.87

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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.