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Finding the Fourth Proportional to 10,574.06, 15,854.94 and 4,000.76

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Solution

The fourth proportional to 10,574.06, 15,854.94 and 4,000.76 is: 5,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.06 : 15,854.94 = 4,000.76 : x
  2. Step 2: Convert to fraction form
    10,574.06/15,854.94 = 4,000.76/x
  3. Step 3: Cross multiply
    10,574.06x = 15,854.94 × 4,000.76
  4. Step 4: Simplify right side
    10,574.06x = 63,431,809.75
  5. Step 5: Solve for x
    x = 63,431,809.75/10,574.06
  6. Step 6: Final answer
    x = 5,998.81

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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.