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Finding the Fourth Proportional to 11,343, 17,017.95 and 5,800.24

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Solution

The fourth proportional to 11,343, 17,017.95 and 5,800.24 is: 8,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343 : 17,017.95 = 5,800.24 : x
  2. Step 2: Convert to fraction form
    11,343/17,017.95 = 5,800.24/x
  3. Step 3: Cross multiply
    11,343x = 17,017.95 × 5,800.24
  4. Step 4: Simplify right side
    11,343x = 98,708,194.31
  5. Step 5: Solve for x
    x = 98,708,194.31/11,343
  6. Step 6: Final answer
    x = 8,702.12

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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.