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Finding the Fourth Proportional to 10,805.50, 14,911.59 and 5,837.50

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Solution

The fourth proportional to 10,805.50, 14,911.59 and 5,837.50 is: 8,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.50 : 14,911.59 = 5,837.50 : x
  2. Step 2: Convert to fraction form
    10,805.50/14,911.59 = 5,837.50/x
  3. Step 3: Cross multiply
    10,805.50x = 14,911.59 × 5,837.50
  4. Step 4: Simplify right side
    10,805.50x = 87,046,406.63
  5. Step 5: Solve for x
    x = 87,046,406.63/10,805.50
  6. Step 6: Final answer
    x = 8,055.75

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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.