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Finding the Fourth Proportional to 11,489.51, 17,222.09 and 6,548.51

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Solution

The fourth proportional to 11,489.51, 17,222.09 and 6,548.51 is: 9,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.51 : 17,222.09 = 6,548.51 : x
  2. Step 2: Convert to fraction form
    11,489.51/17,222.09 = 6,548.51/x
  3. Step 3: Cross multiply
    11,489.51x = 17,222.09 × 6,548.51
  4. Step 4: Simplify right side
    11,489.51x = 112,779,038.90
  5. Step 5: Solve for x
    x = 112,779,038.90/11,489.51
  6. Step 6: Final answer
    x = 9,815.82

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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.