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Finding the Fourth Proportional to 11,542.88, 17,312.16 and 7,187.24

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Solution

The fourth proportional to 11,542.88, 17,312.16 and 7,187.24 is: 10,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.88 : 17,312.16 = 7,187.24 : x
  2. Step 2: Convert to fraction form
    11,542.88/17,312.16 = 7,187.24/x
  3. Step 3: Cross multiply
    11,542.88x = 17,312.16 × 7,187.24
  4. Step 4: Simplify right side
    11,542.88x = 124,426,648.84
  5. Step 5: Solve for x
    x = 124,426,648.84/11,542.88
  6. Step 6: Final answer
    x = 10,779.52

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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.