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Finding the Fourth Proportional to 10,357.82, 15,544.49 and 7,591.53

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Solution

The fourth proportional to 10,357.82, 15,544.49 and 7,591.53 is: 11,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.82 : 15,544.49 = 7,591.53 : x
  2. Step 2: Convert to fraction form
    10,357.82/15,544.49 = 7,591.53/x
  3. Step 3: Cross multiply
    10,357.82x = 15,544.49 × 7,591.53
  4. Step 4: Simplify right side
    10,357.82x = 118,006,424.21
  5. Step 5: Solve for x
    x = 118,006,424.21/10,357.82
  6. Step 6: Final answer
    x = 11,392.98

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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.