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Finding the Fourth Proportional to 10,492.27, 15,725.89 and 7,312.49

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Solution

The fourth proportional to 10,492.27, 15,725.89 and 7,312.49 is: 10,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.27 : 15,725.89 = 7,312.49 : x
  2. Step 2: Convert to fraction form
    10,492.27/15,725.89 = 7,312.49/x
  3. Step 3: Cross multiply
    10,492.27x = 15,725.89 × 7,312.49
  4. Step 4: Simplify right side
    10,492.27x = 114,995,491.31
  5. Step 5: Solve for x
    x = 114,995,491.31/10,492.27
  6. Step 6: Final answer
    x = 10,960.02

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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.