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Finding the Fourth Proportional to 10,710.92, 14,780.49 and 5,994.29

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Solution

The fourth proportional to 10,710.92, 14,780.49 and 5,994.29 is: 8,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.92 : 14,780.49 = 5,994.29 : x
  2. Step 2: Convert to fraction form
    10,710.92/14,780.49 = 5,994.29/x
  3. Step 3: Cross multiply
    10,710.92x = 14,780.49 × 5,994.29
  4. Step 4: Simplify right side
    10,710.92x = 88,598,543.40
  5. Step 5: Solve for x
    x = 88,598,543.40/10,710.92
  6. Step 6: Final answer
    x = 8,271.80

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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.