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Finding the Fourth Proportional to 10,708.61, 14,777.74 and 5,992.89

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Solution

The fourth proportional to 10,708.61, 14,777.74 and 5,992.89 is: 8,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.61 : 14,777.74 = 5,992.89 : x
  2. Step 2: Convert to fraction form
    10,708.61/14,777.74 = 5,992.89/x
  3. Step 3: Cross multiply
    10,708.61x = 14,777.74 × 5,992.89
  4. Step 4: Simplify right side
    10,708.61x = 88,561,322.34
  5. Step 5: Solve for x
    x = 88,561,322.34/10,708.61
  6. Step 6: Final answer
    x = 8,270.11

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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.