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Finding the Fourth Proportional to 11,380.74, 15,718.50 and 7,597.32

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Solution

The fourth proportional to 11,380.74, 15,718.50 and 7,597.32 is: 10,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.74 : 15,718.50 = 7,597.32 : x
  2. Step 2: Convert to fraction form
    11,380.74/15,718.50 = 7,597.32/x
  3. Step 3: Cross multiply
    11,380.74x = 15,718.50 × 7,597.32
  4. Step 4: Simplify right side
    11,380.74x = 119,418,474.42
  5. Step 5: Solve for x
    x = 119,418,474.42/11,380.74
  6. Step 6: Final answer
    x = 10,493.03

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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.