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Finding the Fourth Proportional to 7,697.80, 10,624.26 and 4,555.72

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Solution

The fourth proportional to 7,697.80, 10,624.26 and 4,555.72 is: 6,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.80 : 10,624.26 = 4,555.72 : x
  2. Step 2: Convert to fraction form
    7,697.80/10,624.26 = 4,555.72/x
  3. Step 3: Cross multiply
    7,697.80x = 10,624.26 × 4,555.72
  4. Step 4: Simplify right side
    7,697.80x = 48,401,153.77
  5. Step 5: Solve for x
    x = 48,401,153.77/7,697.80
  6. Step 6: Final answer
    x = 6,287.66

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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.