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Finding the Fourth Proportional to 10,623.70, 14,659.68 and 6,146.56

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Solution

The fourth proportional to 10,623.70, 14,659.68 and 6,146.56 is: 8,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.70 : 14,659.68 = 6,146.56 : x
  2. Step 2: Convert to fraction form
    10,623.70/14,659.68 = 6,146.56/x
  3. Step 3: Cross multiply
    10,623.70x = 14,659.68 × 6,146.56
  4. Step 4: Simplify right side
    10,623.70x = 90,106,602.70
  5. Step 5: Solve for x
    x = 90,106,602.70/10,623.70
  6. Step 6: Final answer
    x = 8,481.66

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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.