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Finding the Fourth Proportional to 6,870.96, 10,307.48 and 2,489.45

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Solution

The fourth proportional to 6,870.96, 10,307.48 and 2,489.45 is: 3,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.96 : 10,307.48 = 2,489.45 : x
  2. Step 2: Convert to fraction form
    6,870.96/10,307.48 = 2,489.45/x
  3. Step 3: Cross multiply
    6,870.96x = 10,307.48 × 2,489.45
  4. Step 4: Simplify right side
    6,870.96x = 25,659,892.10
  5. Step 5: Solve for x
    x = 25,659,892.10/6,870.96
  6. Step 6: Final answer
    x = 3,734.54

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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.