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Finding the Fourth Proportional to 10,902.40, 16,359 and 4,328.44

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Solution

The fourth proportional to 10,902.40, 16,359 and 4,328.44 is: 6,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.40 : 16,359 = 4,328.44 : x
  2. Step 2: Convert to fraction form
    10,902.40/16,359 = 4,328.44/x
  3. Step 3: Cross multiply
    10,902.40x = 16,359 × 4,328.44
  4. Step 4: Simplify right side
    10,902.40x = 70,808,949.96
  5. Step 5: Solve for x
    x = 70,808,949.96/10,902.40
  6. Step 6: Final answer
    x = 6,494.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.