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Finding the Fourth Proportional to 10,738.88, 14,830.92 and 7,390.34

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Solution

The fourth proportional to 10,738.88, 14,830.92 and 7,390.34 is: 10,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.88 : 14,830.92 = 7,390.34 : x
  2. Step 2: Convert to fraction form
    10,738.88/14,830.92 = 7,390.34/x
  3. Step 3: Cross multiply
    10,738.88x = 14,830.92 × 7,390.34
  4. Step 4: Simplify right side
    10,738.88x = 109,605,541.31
  5. Step 5: Solve for x
    x = 109,605,541.31/10,738.88
  6. Step 6: Final answer
    x = 10,206.42

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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.