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Finding the Fourth Proportional to 11,492.66, 15,866.52 and 7,520.70

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Solution

The fourth proportional to 11,492.66, 15,866.52 and 7,520.70 is: 10,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.66 : 15,866.52 = 7,520.70 : x
  2. Step 2: Convert to fraction form
    11,492.66/15,866.52 = 7,520.70/x
  3. Step 3: Cross multiply
    11,492.66x = 15,866.52 × 7,520.70
  4. Step 4: Simplify right side
    11,492.66x = 119,327,299.36
  5. Step 5: Solve for x
    x = 119,327,299.36/11,492.66
  6. Step 6: Final answer
    x = 10,382.92

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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.