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Finding the Fourth Proportional to 7,832.16, 11,742.44 and 2,900.88

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Solution

The fourth proportional to 7,832.16, 11,742.44 and 2,900.88 is: 4,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.16 : 11,742.44 = 2,900.88 : x
  2. Step 2: Convert to fraction form
    7,832.16/11,742.44 = 2,900.88/x
  3. Step 3: Cross multiply
    7,832.16x = 11,742.44 × 2,900.88
  4. Step 4: Simplify right side
    7,832.16x = 34,063,394.84
  5. Step 5: Solve for x
    x = 34,063,394.84/7,832.16
  6. Step 6: Final answer
    x = 4,349.17

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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.