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Finding the Fourth Proportional to 6,712.42, 10,075.92 and 4,951.90

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Solution

The fourth proportional to 6,712.42, 10,075.92 and 4,951.90 is: 7,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.42 : 10,075.92 = 4,951.90 : x
  2. Step 2: Convert to fraction form
    6,712.42/10,075.92 = 4,951.90/x
  3. Step 3: Cross multiply
    6,712.42x = 10,075.92 × 4,951.90
  4. Step 4: Simplify right side
    6,712.42x = 49,894,948.25
  5. Step 5: Solve for x
    x = 49,894,948.25/6,712.42
  6. Step 6: Final answer
    x = 7,433.23

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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.