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Finding the Fourth Proportional to 10,322.73, 14,245.43 and 6,130.89

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Solution

The fourth proportional to 10,322.73, 14,245.43 and 6,130.89 is: 8,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.73 : 14,245.43 = 6,130.89 : x
  2. Step 2: Convert to fraction form
    10,322.73/14,245.43 = 6,130.89/x
  3. Step 3: Cross multiply
    10,322.73x = 14,245.43 × 6,130.89
  4. Step 4: Simplify right side
    10,322.73x = 87,337,133.68
  5. Step 5: Solve for x
    x = 87,337,133.68/10,322.73
  6. Step 6: Final answer
    x = 8,460.66

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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.