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Finding the Fourth Proportional to 10,341, 14,269.96 and 5,625.24

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Solution

The fourth proportional to 10,341, 14,269.96 and 5,625.24 is: 7,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341 : 14,269.96 = 5,625.24 : x
  2. Step 2: Convert to fraction form
    10,341/14,269.96 = 5,625.24/x
  3. Step 3: Cross multiply
    10,341x = 14,269.96 × 5,625.24
  4. Step 4: Simplify right side
    10,341x = 80,271,949.79
  5. Step 5: Solve for x
    x = 80,271,949.79/10,341
  6. Step 6: Final answer
    x = 7,762.49

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