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Finding the Fourth Proportional to 10,308.92, 15,461.42 and 4,384.70

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Solution

The fourth proportional to 10,308.92, 15,461.42 and 4,384.70 is: 6,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.92 : 15,461.42 = 4,384.70 : x
  2. Step 2: Convert to fraction form
    10,308.92/15,461.42 = 4,384.70/x
  3. Step 3: Cross multiply
    10,308.92x = 15,461.42 × 4,384.70
  4. Step 4: Simplify right side
    10,308.92x = 67,793,688.27
  5. Step 5: Solve for x
    x = 67,793,688.27/10,308.92
  6. Step 6: Final answer
    x = 6,576.22

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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.