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Finding the Fourth Proportional to 10,780.84, 14,879.46 and 10,288.36

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Solution

The fourth proportional to 10,780.84, 14,879.46 and 10,288.36 is: 14,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.84 : 14,879.46 = 10,288.36 : x
  2. Step 2: Convert to fraction form
    10,780.84/14,879.46 = 10,288.36/x
  3. Step 3: Cross multiply
    10,780.84x = 14,879.46 × 10,288.36
  4. Step 4: Simplify right side
    10,780.84x = 153,085,241.09
  5. Step 5: Solve for x
    x = 153,085,241.09/10,780.84
  6. Step 6: Final answer
    x = 14,199.75

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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.