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Finding the Fourth Proportional to 7,886.06, 11,832.10 and 2,957.90

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Solution

The fourth proportional to 7,886.06, 11,832.10 and 2,957.90 is: 4,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.06 : 11,832.10 = 2,957.90 : x
  2. Step 2: Convert to fraction form
    7,886.06/11,832.10 = 2,957.90/x
  3. Step 3: Cross multiply
    7,886.06x = 11,832.10 × 2,957.90
  4. Step 4: Simplify right side
    7,886.06x = 34,998,168.59
  5. Step 5: Solve for x
    x = 34,998,168.59/7,886.06
  6. Step 6: Final answer
    x = 4,437.98

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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.