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Finding the Fourth Proportional to 10,725.80, 14,808.84 and 6,698.78

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Solution

The fourth proportional to 10,725.80, 14,808.84 and 6,698.78 is: 9,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.80 : 14,808.84 = 6,698.78 : x
  2. Step 2: Convert to fraction form
    10,725.80/14,808.84 = 6,698.78/x
  3. Step 3: Cross multiply
    10,725.80x = 14,808.84 × 6,698.78
  4. Step 4: Simplify right side
    10,725.80x = 99,201,161.22
  5. Step 5: Solve for x
    x = 99,201,161.22/10,725.80
  6. Step 6: Final answer
    x = 9,248.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.