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Finding the Fourth Proportional to 7,185.45, 10,714.72 and 6,311.53

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Solution

The fourth proportional to 7,185.45, 10,714.72 and 6,311.53 is: 9,411.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.45 : 10,714.72 = 6,311.53 : x
  2. Step 2: Convert to fraction form
    7,185.45/10,714.72 = 6,311.53/x
  3. Step 3: Cross multiply
    7,185.45x = 10,714.72 × 6,311.53
  4. Step 4: Simplify right side
    7,185.45x = 67,626,234.16
  5. Step 5: Solve for x
    x = 67,626,234.16/7,185.45
  6. Step 6: Final answer
    x = 9,411.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.