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Finding the Fourth Proportional to 10,795.61, 16,172.22 and 9,620.10

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Solution

The fourth proportional to 10,795.61, 16,172.22 and 9,620.10 is: 14,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.61 : 16,172.22 = 9,620.10 : x
  2. Step 2: Convert to fraction form
    10,795.61/16,172.22 = 9,620.10/x
  3. Step 3: Cross multiply
    10,795.61x = 16,172.22 × 9,620.10
  4. Step 4: Simplify right side
    10,795.61x = 155,578,409.70
  5. Step 5: Solve for x
    x = 155,578,409.70/10,795.61
  6. Step 6: Final answer
    x = 14,411.26

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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.