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Finding the Fourth Proportional to 10,357.47, 15,537.69 and 3,782.07

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Solution

The fourth proportional to 10,357.47, 15,537.69 and 3,782.07 is: 5,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.47 : 15,537.69 = 3,782.07 : x
  2. Step 2: Convert to fraction form
    10,357.47/15,537.69 = 3,782.07/x
  3. Step 3: Cross multiply
    10,357.47x = 15,537.69 × 3,782.07
  4. Step 4: Simplify right side
    10,357.47x = 58,764,631.22
  5. Step 5: Solve for x
    x = 58,764,631.22/10,357.47
  6. Step 6: Final answer
    x = 5,673.65

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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.