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Finding the Fourth Proportional to 10,155.69, 15,234.80 and 3,580.56

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Solution

The fourth proportional to 10,155.69, 15,234.80 and 3,580.56 is: 5,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.69 : 15,234.80 = 3,580.56 : x
  2. Step 2: Convert to fraction form
    10,155.69/15,234.80 = 3,580.56/x
  3. Step 3: Cross multiply
    10,155.69x = 15,234.80 × 3,580.56
  4. Step 4: Simplify right side
    10,155.69x = 54,549,097.59
  5. Step 5: Solve for x
    x = 54,549,097.59/10,155.69
  6. Step 6: Final answer
    x = 5,371.28

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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.