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Finding the Fourth Proportional to 11,343.94, 15,654.49 and 6,308.03

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Solution

The fourth proportional to 11,343.94, 15,654.49 and 6,308.03 is: 8,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.94 : 15,654.49 = 6,308.03 : x
  2. Step 2: Convert to fraction form
    11,343.94/15,654.49 = 6,308.03/x
  3. Step 3: Cross multiply
    11,343.94x = 15,654.49 × 6,308.03
  4. Step 4: Simplify right side
    11,343.94x = 98,748,992.55
  5. Step 5: Solve for x
    x = 98,748,992.55/11,343.94
  6. Step 6: Final answer
    x = 8,705.00

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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.