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Finding the Fourth Proportional to 10,855.50, 14,980.62 and 5,887.50

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Solution

The fourth proportional to 10,855.50, 14,980.62 and 5,887.50 is: 8,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.50 : 14,980.62 = 5,887.50 : x
  2. Step 2: Convert to fraction form
    10,855.50/14,980.62 = 5,887.50/x
  3. Step 3: Cross multiply
    10,855.50x = 14,980.62 × 5,887.50
  4. Step 4: Simplify right side
    10,855.50x = 88,198,400.25
  5. Step 5: Solve for x
    x = 88,198,400.25/10,855.50
  6. Step 6: Final answer
    x = 8,124.77

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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.