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Finding the Fourth Proportional to 12,883.12, 17,779.43 and 7,218.32

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Solution

The fourth proportional to 12,883.12, 17,779.43 and 7,218.32 is: 9,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.12 : 17,779.43 = 7,218.32 : x
  2. Step 2: Convert to fraction form
    12,883.12/17,779.43 = 7,218.32/x
  3. Step 3: Cross multiply
    12,883.12x = 17,779.43 × 7,218.32
  4. Step 4: Simplify right side
    12,883.12x = 128,337,544.31
  5. Step 5: Solve for x
    x = 128,337,544.31/12,883.12
  6. Step 6: Final answer
    x = 9,961.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.