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Finding the Fourth Proportional to 7,878.56, 11,820.84 and 2,950.40

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Solution

The fourth proportional to 7,878.56, 11,820.84 and 2,950.40 is: 4,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.56 : 11,820.84 = 2,950.40 : x
  2. Step 2: Convert to fraction form
    7,878.56/11,820.84 = 2,950.40/x
  3. Step 3: Cross multiply
    7,878.56x = 11,820.84 × 2,950.40
  4. Step 4: Simplify right side
    7,878.56x = 34,876,206.34
  5. Step 5: Solve for x
    x = 34,876,206.34/7,878.56
  6. Step 6: Final answer
    x = 4,426.72

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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.