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Finding the Fourth Proportional to 10,710.42, 14,780.67 and 5,994.66

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Solution

The fourth proportional to 10,710.42, 14,780.67 and 5,994.66 is: 8,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.42 : 14,780.67 = 5,994.66 : x
  2. Step 2: Convert to fraction form
    10,710.42/14,780.67 = 5,994.66/x
  3. Step 3: Cross multiply
    10,710.42x = 14,780.67 × 5,994.66
  4. Step 4: Simplify right side
    10,710.42x = 88,605,091.22
  5. Step 5: Solve for x
    x = 88,605,091.22/10,710.42
  6. Step 6: Final answer
    x = 8,272.79

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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.