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Finding the Fourth Proportional to 11,471.05, 15,833.42 and 7,492.78

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Solution

The fourth proportional to 11,471.05, 15,833.42 and 7,492.78 is: 10,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.05 : 15,833.42 = 7,492.78 : x
  2. Step 2: Convert to fraction form
    11,471.05/15,833.42 = 7,492.78/x
  3. Step 3: Cross multiply
    11,471.05x = 15,833.42 × 7,492.78
  4. Step 4: Simplify right side
    11,471.05x = 118,636,332.71
  5. Step 5: Solve for x
    x = 118,636,332.71/11,471.05
  6. Step 6: Final answer
    x = 10,342.24

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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.