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Finding the Fourth Proportional to 10,740, 14,816.16 and 7,597.92

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Solution

The fourth proportional to 10,740, 14,816.16 and 7,597.92 is: 10,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740 : 14,816.16 = 7,597.92 : x
  2. Step 2: Convert to fraction form
    10,740/14,816.16 = 7,597.92/x
  3. Step 3: Cross multiply
    10,740x = 14,816.16 × 7,597.92
  4. Step 4: Simplify right side
    10,740x = 112,571,998.39
  5. Step 5: Solve for x
    x = 112,571,998.39/10,740
  6. Step 6: Final answer
    x = 10,481.56

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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.