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Finding the Fourth Proportional to 10,759.84, 16,170 and 6,377.92

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Solution

The fourth proportional to 10,759.84, 16,170 and 6,377.92 is: 9,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.84 : 16,170 = 6,377.92 : x
  2. Step 2: Convert to fraction form
    10,759.84/16,170 = 6,377.92/x
  3. Step 3: Cross multiply
    10,759.84x = 16,170 × 6,377.92
  4. Step 4: Simplify right side
    10,759.84x = 103,130,966.40
  5. Step 5: Solve for x
    x = 103,130,966.40/10,759.84
  6. Step 6: Final answer
    x = 9,584.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.