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Finding the Fourth Proportional to 10,712.76, 14,783.61 and 5,997

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Solution

The fourth proportional to 10,712.76, 14,783.61 and 5,997 is: 8,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.76 : 14,783.61 = 5,997 : x
  2. Step 2: Convert to fraction form
    10,712.76/14,783.61 = 5,997/x
  3. Step 3: Cross multiply
    10,712.76x = 14,783.61 × 5,997
  4. Step 4: Simplify right side
    10,712.76x = 88,657,309.17
  5. Step 5: Solve for x
    x = 88,657,309.17/10,712.76
  6. Step 6: Final answer
    x = 8,275.86

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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.