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Finding the Fourth Proportional to 8,653.77, 11,936.64 and 5,461.43

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Solution

The fourth proportional to 8,653.77, 11,936.64 and 5,461.43 is: 7,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.77 : 11,936.64 = 5,461.43 : x
  2. Step 2: Convert to fraction form
    8,653.77/11,936.64 = 5,461.43/x
  3. Step 3: Cross multiply
    8,653.77x = 11,936.64 × 5,461.43
  4. Step 4: Simplify right side
    8,653.77x = 65,191,064.11
  5. Step 5: Solve for x
    x = 65,191,064.11/8,653.77
  6. Step 6: Final answer
    x = 7,533.26

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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.