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Finding the Fourth Proportional to 10,880.10, 16,316.10 and 7,583.40

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Solution

The fourth proportional to 10,880.10, 16,316.10 and 7,583.40 is: 11,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.10 : 16,316.10 = 7,583.40 : x
  2. Step 2: Convert to fraction form
    10,880.10/16,316.10 = 7,583.40/x
  3. Step 3: Cross multiply
    10,880.10x = 16,316.10 × 7,583.40
  4. Step 4: Simplify right side
    10,880.10x = 123,731,512.74
  5. Step 5: Solve for x
    x = 123,731,512.74/10,880.10
  6. Step 6: Final answer
    x = 11,372.28

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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.