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Finding the Fourth Proportional to 11,402.30, 17,091.76 and 5,470.52

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Solution

The fourth proportional to 11,402.30, 17,091.76 and 5,470.52 is: 8,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.30 : 17,091.76 = 5,470.52 : x
  2. Step 2: Convert to fraction form
    11,402.30/17,091.76 = 5,470.52/x
  3. Step 3: Cross multiply
    11,402.30x = 17,091.76 × 5,470.52
  4. Step 4: Simplify right side
    11,402.30x = 93,500,822.18
  5. Step 5: Solve for x
    x = 93,500,822.18/11,402.30
  6. Step 6: Final answer
    x = 8,200.17

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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.