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Finding the Fourth Proportional to 10,767.50, 14,858.88 and 5,987.46

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Solution

The fourth proportional to 10,767.50, 14,858.88 and 5,987.46 is: 8,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.50 : 14,858.88 = 5,987.46 : x
  2. Step 2: Convert to fraction form
    10,767.50/14,858.88 = 5,987.46/x
  3. Step 3: Cross multiply
    10,767.50x = 14,858.88 × 5,987.46
  4. Step 4: Simplify right side
    10,767.50x = 88,966,949.64
  5. Step 5: Solve for x
    x = 88,966,949.64/10,767.50
  6. Step 6: Final answer
    x = 8,262.54

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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.