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Finding the Fourth Proportional to 11,134.40, 16,702.13 and 6,200.35

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Solution

The fourth proportional to 11,134.40, 16,702.13 and 6,200.35 is: 9,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.40 : 16,702.13 = 6,200.35 : x
  2. Step 2: Convert to fraction form
    11,134.40/16,702.13 = 6,200.35/x
  3. Step 3: Cross multiply
    11,134.40x = 16,702.13 × 6,200.35
  4. Step 4: Simplify right side
    11,134.40x = 103,559,025.49
  5. Step 5: Solve for x
    x = 103,559,025.49/11,134.40
  6. Step 6: Final answer
    x = 9,300.82

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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.