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Finding the Fourth Proportional to 10,555.78, 15,837.20 and 3,536.50

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Solution

The fourth proportional to 10,555.78, 15,837.20 and 3,536.50 is: 5,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.78 : 15,837.20 = 3,536.50 : x
  2. Step 2: Convert to fraction form
    10,555.78/15,837.20 = 3,536.50/x
  3. Step 3: Cross multiply
    10,555.78x = 15,837.20 × 3,536.50
  4. Step 4: Simplify right side
    10,555.78x = 56,008,257.80
  5. Step 5: Solve for x
    x = 56,008,257.80/10,555.78
  6. Step 6: Final answer
    x = 5,305.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.