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Finding the Fourth Proportional to 10,780.80, 14,858.08 and 7,981.44

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Solution

The fourth proportional to 10,780.80, 14,858.08 and 7,981.44 is: 11,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.80 : 14,858.08 = 7,981.44 : x
  2. Step 2: Convert to fraction form
    10,780.80/14,858.08 = 7,981.44/x
  3. Step 3: Cross multiply
    10,780.80x = 14,858.08 × 7,981.44
  4. Step 4: Simplify right side
    10,780.80x = 118,588,874.04
  5. Step 5: Solve for x
    x = 118,588,874.04/10,780.80
  6. Step 6: Final answer
    x = 11,000.01

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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.