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Finding the Fourth Proportional to 10,465.50, 14,442 and 5,685.24

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Solution

The fourth proportional to 10,465.50, 14,442 and 5,685.24 is: 7,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.50 : 14,442 = 5,685.24 : x
  2. Step 2: Convert to fraction form
    10,465.50/14,442 = 5,685.24/x
  3. Step 3: Cross multiply
    10,465.50x = 14,442 × 5,685.24
  4. Step 4: Simplify right side
    10,465.50x = 82,106,236.08
  5. Step 5: Solve for x
    x = 82,106,236.08/10,465.50
  6. Step 6: Final answer
    x = 7,845.42

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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.