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Finding the Fourth Proportional to 10,702.12, 14,768.57 and 5,922.50

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Solution

The fourth proportional to 10,702.12, 14,768.57 and 5,922.50 is: 8,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.12 : 14,768.57 = 5,922.50 : x
  2. Step 2: Convert to fraction form
    10,702.12/14,768.57 = 5,922.50/x
  3. Step 3: Cross multiply
    10,702.12x = 14,768.57 × 5,922.50
  4. Step 4: Simplify right side
    10,702.12x = 87,466,844.54
  5. Step 5: Solve for x
    x = 87,466,844.54/10,702.12
  6. Step 6: Final answer
    x = 8,172.85

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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.