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Finding the Fourth Proportional to 10,654.23, 14,693.29 and 6,675.78

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Solution

The fourth proportional to 10,654.23, 14,693.29 and 6,675.78 is: 9,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.23 : 14,693.29 = 6,675.78 : x
  2. Step 2: Convert to fraction form
    10,654.23/14,693.29 = 6,675.78/x
  3. Step 3: Cross multiply
    10,654.23x = 14,693.29 × 6,675.78
  4. Step 4: Simplify right side
    10,654.23x = 98,089,171.52
  5. Step 5: Solve for x
    x = 98,089,171.52/10,654.23
  6. Step 6: Final answer
    x = 9,206.59

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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.