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Finding the Fourth Proportional to 10,000.69, 14,990.78 and 5,055.34

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Solution

The fourth proportional to 10,000.69, 14,990.78 and 5,055.34 is: 7,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.69 : 14,990.78 = 5,055.34 : x
  2. Step 2: Convert to fraction form
    10,000.69/14,990.78 = 5,055.34/x
  3. Step 3: Cross multiply
    10,000.69x = 14,990.78 × 5,055.34
  4. Step 4: Simplify right side
    10,000.69x = 75,783,489.77
  5. Step 5: Solve for x
    x = 75,783,489.77/10,000.69
  6. Step 6: Final answer
    x = 7,577.83

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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.