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Finding the Fourth Proportional to 11,378.34, 17,042.58 and 5,822.10

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Solution

The fourth proportional to 11,378.34, 17,042.58 and 5,822.10 is: 8,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.34 : 17,042.58 = 5,822.10 : x
  2. Step 2: Convert to fraction form
    11,378.34/17,042.58 = 5,822.10/x
  3. Step 3: Cross multiply
    11,378.34x = 17,042.58 × 5,822.10
  4. Step 4: Simplify right side
    11,378.34x = 99,223,605.02
  5. Step 5: Solve for x
    x = 99,223,605.02/11,378.34
  6. Step 6: Final answer
    x = 8,720.39

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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.