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Finding the Fourth Proportional to 10,712.58, 14,783.88 and 5,995.92

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Solution

The fourth proportional to 10,712.58, 14,783.88 and 5,995.92 is: 8,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.58 : 14,783.88 = 5,995.92 : x
  2. Step 2: Convert to fraction form
    10,712.58/14,783.88 = 5,995.92/x
  3. Step 3: Cross multiply
    10,712.58x = 14,783.88 × 5,995.92
  4. Step 4: Simplify right side
    10,712.58x = 88,642,961.77
  5. Step 5: Solve for x
    x = 88,642,961.77/10,712.58
  6. Step 6: Final answer
    x = 8,274.66

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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.