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Finding the Fourth Proportional to 10,654.41, 14,703.12 and 6,180.81

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Solution

The fourth proportional to 10,654.41, 14,703.12 and 6,180.81 is: 8,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.41 : 14,703.12 = 6,180.81 : x
  2. Step 2: Convert to fraction form
    10,654.41/14,703.12 = 6,180.81/x
  3. Step 3: Cross multiply
    10,654.41x = 14,703.12 × 6,180.81
  4. Step 4: Simplify right side
    10,654.41x = 90,877,191.13
  5. Step 5: Solve for x
    x = 90,877,191.13/10,654.41
  6. Step 6: Final answer
    x = 8,529.54

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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.