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Finding the Fourth Proportional to 8,654.94, 11,952.54 and 7,457.46

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Solution

The fourth proportional to 8,654.94, 11,952.54 and 7,457.46 is: 10,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.94 : 11,952.54 = 7,457.46 : x
  2. Step 2: Convert to fraction form
    8,654.94/11,952.54 = 7,457.46/x
  3. Step 3: Cross multiply
    8,654.94x = 11,952.54 × 7,457.46
  4. Step 4: Simplify right side
    8,654.94x = 89,135,588.95
  5. Step 5: Solve for x
    x = 89,135,588.95/8,654.94
  6. Step 6: Final answer
    x = 10,298.81

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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.