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Finding the Fourth Proportional to 10,425.81, 15,639.59 and 3,405.71

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Solution

The fourth proportional to 10,425.81, 15,639.59 and 3,405.71 is: 5,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.81 : 15,639.59 = 3,405.71 : x
  2. Step 2: Convert to fraction form
    10,425.81/15,639.59 = 3,405.71/x
  3. Step 3: Cross multiply
    10,425.81x = 15,639.59 × 3,405.71
  4. Step 4: Simplify right side
    10,425.81x = 53,263,829.86
  5. Step 5: Solve for x
    x = 53,263,829.86/10,425.81
  6. Step 6: Final answer
    x = 5,108.84

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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.