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Finding the Fourth Proportional to 11,596.20, 17,415.63 and 6,053.28

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Solution

The fourth proportional to 11,596.20, 17,415.63 and 6,053.28 is: 9,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.20 : 17,415.63 = 6,053.28 : x
  2. Step 2: Convert to fraction form
    11,596.20/17,415.63 = 6,053.28/x
  3. Step 3: Cross multiply
    11,596.20x = 17,415.63 × 6,053.28
  4. Step 4: Simplify right side
    11,596.20x = 105,421,684.77
  5. Step 5: Solve for x
    x = 105,421,684.77/11,596.20
  6. Step 6: Final answer
    x = 9,091.05

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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.