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Finding the Fourth Proportional to 10,710.80, 16,068.62 and 5,780.33

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Solution

The fourth proportional to 10,710.80, 16,068.62 and 5,780.33 is: 8,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.80 : 16,068.62 = 5,780.33 : x
  2. Step 2: Convert to fraction form
    10,710.80/16,068.62 = 5,780.33/x
  3. Step 3: Cross multiply
    10,710.80x = 16,068.62 × 5,780.33
  4. Step 4: Simplify right side
    10,710.80x = 92,881,817.00
  5. Step 5: Solve for x
    x = 92,881,817.00/10,710.80
  6. Step 6: Final answer
    x = 8,671.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.