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Finding the Fourth Proportional to 12,884.04, 17,779.14 and 7,577.82

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Solution

The fourth proportional to 12,884.04, 17,779.14 and 7,577.82 is: 10,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.04 : 17,779.14 = 7,577.82 : x
  2. Step 2: Convert to fraction form
    12,884.04/17,779.14 = 7,577.82/x
  3. Step 3: Cross multiply
    12,884.04x = 17,779.14 × 7,577.82
  4. Step 4: Simplify right side
    12,884.04x = 134,727,122.67
  5. Step 5: Solve for x
    x = 134,727,122.67/12,884.04
  6. Step 6: Final answer
    x = 10,456.90

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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.