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Finding the Fourth Proportional to 10,478.28, 14,460.42 and 5,762.44

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Solution

The fourth proportional to 10,478.28, 14,460.42 and 5,762.44 is: 7,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.28 : 14,460.42 = 5,762.44 : x
  2. Step 2: Convert to fraction form
    10,478.28/14,460.42 = 5,762.44/x
  3. Step 3: Cross multiply
    10,478.28x = 14,460.42 × 5,762.44
  4. Step 4: Simplify right side
    10,478.28x = 83,327,302.62
  5. Step 5: Solve for x
    x = 83,327,302.62/10,478.28
  6. Step 6: Final answer
    x = 7,952.38

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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.