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Finding the Fourth Proportional to 10,340.40, 14,269.32 and 5,624.40

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Solution

The fourth proportional to 10,340.40, 14,269.32 and 5,624.40 is: 7,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.40 : 14,269.32 = 5,624.40 : x
  2. Step 2: Convert to fraction form
    10,340.40/14,269.32 = 5,624.40/x
  3. Step 3: Cross multiply
    10,340.40x = 14,269.32 × 5,624.40
  4. Step 4: Simplify right side
    10,340.40x = 80,256,363.41
  5. Step 5: Solve for x
    x = 80,256,363.41/10,340.40
  6. Step 6: Final answer
    x = 7,761.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.