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Finding the Fourth Proportional to 11,596.84, 15,997.30 and 7,340.11

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Solution

The fourth proportional to 11,596.84, 15,997.30 and 7,340.11 is: 10,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.84 : 15,997.30 = 7,340.11 : x
  2. Step 2: Convert to fraction form
    11,596.84/15,997.30 = 7,340.11/x
  3. Step 3: Cross multiply
    11,596.84x = 15,997.30 × 7,340.11
  4. Step 4: Simplify right side
    11,596.84x = 117,421,941.70
  5. Step 5: Solve for x
    x = 117,421,941.70/11,596.84
  6. Step 6: Final answer
    x = 10,125.34

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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.