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Finding the Fourth Proportional to 11,471.07, 15,833.46 and 7,492.80

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Solution

The fourth proportional to 11,471.07, 15,833.46 and 7,492.80 is: 10,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.07 : 15,833.46 = 7,492.80 : x
  2. Step 2: Convert to fraction form
    11,471.07/15,833.46 = 7,492.80/x
  3. Step 3: Cross multiply
    11,471.07x = 15,833.46 × 7,492.80
  4. Step 4: Simplify right side
    11,471.07x = 118,636,949.09
  5. Step 5: Solve for x
    x = 118,636,949.09/11,471.07
  6. Step 6: Final answer
    x = 10,342.27

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