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Finding the Fourth Proportional to 10,290.14, 14,200.22 and 5,752.92

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Solution

The fourth proportional to 10,290.14, 14,200.22 and 5,752.92 is: 7,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.14 : 14,200.22 = 5,752.92 : x
  2. Step 2: Convert to fraction form
    10,290.14/14,200.22 = 5,752.92/x
  3. Step 3: Cross multiply
    10,290.14x = 14,200.22 × 5,752.92
  4. Step 4: Simplify right side
    10,290.14x = 81,692,700.88
  5. Step 5: Solve for x
    x = 81,692,700.88/10,290.14
  6. Step 6: Final answer
    x = 7,938.93

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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.