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Finding the Fourth Proportional to 8,254.85, 11,386.44 and 5,606.82

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Solution

The fourth proportional to 8,254.85, 11,386.44 and 5,606.82 is: 7,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.85 : 11,386.44 = 5,606.82 : x
  2. Step 2: Convert to fraction form
    8,254.85/11,386.44 = 5,606.82/x
  3. Step 3: Cross multiply
    8,254.85x = 11,386.44 × 5,606.82
  4. Step 4: Simplify right side
    8,254.85x = 63,841,719.52
  5. Step 5: Solve for x
    x = 63,841,719.52/8,254.85
  6. Step 6: Final answer
    x = 7,733.85

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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.