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Finding the Fourth Proportional to 10,574.42, 15,863.85 and 4,000.46

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Solution

The fourth proportional to 10,574.42, 15,863.85 and 4,000.46 is: 6,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.42 : 15,863.85 = 4,000.46 : x
  2. Step 2: Convert to fraction form
    10,574.42/15,863.85 = 4,000.46/x
  3. Step 3: Cross multiply
    10,574.42x = 15,863.85 × 4,000.46
  4. Step 4: Simplify right side
    10,574.42x = 63,462,618.05
  5. Step 5: Solve for x
    x = 63,462,618.05/10,574.42
  6. Step 6: Final answer
    x = 6,001.53

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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.