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Finding the Fourth Proportional to 7,887, 11,830.02 and 2,956.22

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Solution

The fourth proportional to 7,887, 11,830.02 and 2,956.22 is: 4,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887 : 11,830.02 = 2,956.22 : x
  2. Step 2: Convert to fraction form
    7,887/11,830.02 = 2,956.22/x
  3. Step 3: Cross multiply
    7,887x = 11,830.02 × 2,956.22
  4. Step 4: Simplify right side
    7,887x = 34,972,141.72
  5. Step 5: Solve for x
    x = 34,972,141.72/7,887
  6. Step 6: Final answer
    x = 4,434.15

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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.