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Finding the Fourth Proportional to 10,492.53, 15,754.31 and 7,004.27

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Solution

The fourth proportional to 10,492.53, 15,754.31 and 7,004.27 is: 10,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.53 : 15,754.31 = 7,004.27 : x
  2. Step 2: Convert to fraction form
    10,492.53/15,754.31 = 7,004.27/x
  3. Step 3: Cross multiply
    10,492.53x = 15,754.31 × 7,004.27
  4. Step 4: Simplify right side
    10,492.53x = 110,347,440.90
  5. Step 5: Solve for x
    x = 110,347,440.90/10,492.53
  6. Step 6: Final answer
    x = 10,516.76

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Why These Related Problems?

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