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Finding the Fourth Proportional to 10,492.92, 14,481 and 7,306.38

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Solution

The fourth proportional to 10,492.92, 14,481 and 7,306.38 is: 10,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.92 : 14,481 = 7,306.38 : x
  2. Step 2: Convert to fraction form
    10,492.92/14,481 = 7,306.38/x
  3. Step 3: Cross multiply
    10,492.92x = 14,481 × 7,306.38
  4. Step 4: Simplify right side
    10,492.92x = 105,803,688.78
  5. Step 5: Solve for x
    x = 105,803,688.78/10,492.92
  6. Step 6: Final answer
    x = 10,083.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.