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Finding the Fourth Proportional to 10,573, 15,865.34 and 5,895.64

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Solution

The fourth proportional to 10,573, 15,865.34 and 5,895.64 is: 8,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573 : 15,865.34 = 5,895.64 : x
  2. Step 2: Convert to fraction form
    10,573/15,865.34 = 5,895.64/x
  3. Step 3: Cross multiply
    10,573x = 15,865.34 × 5,895.64
  4. Step 4: Simplify right side
    10,573x = 93,536,333.12
  5. Step 5: Solve for x
    x = 93,536,333.12/10,573
  6. Step 6: Final answer
    x = 8,846.72

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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.