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Finding the Fourth Proportional to 12,883.59, 17,779.40 and 7,509.21

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Solution

The fourth proportional to 12,883.59, 17,779.40 and 7,509.21 is: 10,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.59 : 17,779.40 = 7,509.21 : x
  2. Step 2: Convert to fraction form
    12,883.59/17,779.40 = 7,509.21/x
  3. Step 3: Cross multiply
    12,883.59x = 17,779.40 × 7,509.21
  4. Step 4: Simplify right side
    12,883.59x = 133,509,238.89
  5. Step 5: Solve for x
    x = 133,509,238.89/12,883.59
  6. Step 6: Final answer
    x = 10,362.73

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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.