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Finding the Fourth Proportional to 10,712.68, 14,783.52 and 5,997.04

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Solution

The fourth proportional to 10,712.68, 14,783.52 and 5,997.04 is: 8,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.68 : 14,783.52 = 5,997.04 : x
  2. Step 2: Convert to fraction form
    10,712.68/14,783.52 = 5,997.04/x
  3. Step 3: Cross multiply
    10,712.68x = 14,783.52 × 5,997.04
  4. Step 4: Simplify right side
    10,712.68x = 88,657,360.78
  5. Step 5: Solve for x
    x = 88,657,360.78/10,712.68
  6. Step 6: Final answer
    x = 8,275.93

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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.