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Finding the Fourth Proportional to 10,289.57, 15,435.59 and 3,624.69

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Solution

The fourth proportional to 10,289.57, 15,435.59 and 3,624.69 is: 5,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.57 : 15,435.59 = 3,624.69 : x
  2. Step 2: Convert to fraction form
    10,289.57/15,435.59 = 3,624.69/x
  3. Step 3: Cross multiply
    10,289.57x = 15,435.59 × 3,624.69
  4. Step 4: Simplify right side
    10,289.57x = 55,949,228.72
  5. Step 5: Solve for x
    x = 55,949,228.72/10,289.57
  6. Step 6: Final answer
    x = 5,437.47

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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.