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Finding the Fourth Proportional to 10,356.69, 15,537.32 and 3,782.86

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Solution

The fourth proportional to 10,356.69, 15,537.32 and 3,782.86 is: 5,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.69 : 15,537.32 = 3,782.86 : x
  2. Step 2: Convert to fraction form
    10,356.69/15,537.32 = 3,782.86/x
  3. Step 3: Cross multiply
    10,356.69x = 15,537.32 × 3,782.86
  4. Step 4: Simplify right side
    10,356.69x = 58,775,506.34
  5. Step 5: Solve for x
    x = 58,775,506.34/10,356.69
  6. Step 6: Final answer
    x = 5,675.12

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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.