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Finding the Fourth Proportional to 7,870.88, 11,808.14 and 2,676.75

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Solution

The fourth proportional to 7,870.88, 11,808.14 and 2,676.75 is: 4,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.88 : 11,808.14 = 2,676.75 : x
  2. Step 2: Convert to fraction form
    7,870.88/11,808.14 = 2,676.75/x
  3. Step 3: Cross multiply
    7,870.88x = 11,808.14 × 2,676.75
  4. Step 4: Simplify right side
    7,870.88x = 31,607,425.36
  5. Step 5: Solve for x
    x = 31,607,425.36/7,870.88
  6. Step 6: Final answer
    x = 4,015.74

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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.