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Finding the Fourth Proportional to 10,739.40, 14,832.38 and 7,392.48

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Solution

The fourth proportional to 10,739.40, 14,832.38 and 7,392.48 is: 10,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.40 : 14,832.38 = 7,392.48 : x
  2. Step 2: Convert to fraction form
    10,739.40/14,832.38 = 7,392.48/x
  3. Step 3: Cross multiply
    10,739.40x = 14,832.38 × 7,392.48
  4. Step 4: Simplify right side
    10,739.40x = 109,648,072.50
  5. Step 5: Solve for x
    x = 109,648,072.50/10,739.40
  6. Step 6: Final answer
    x = 10,209.89

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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.