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Finding the Fourth Proportional to 7,077.67, 10,624.71 and 3,797.17

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Solution

The fourth proportional to 7,077.67, 10,624.71 and 3,797.17 is: 5,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.67 : 10,624.71 = 3,797.17 : x
  2. Step 2: Convert to fraction form
    7,077.67/10,624.71 = 3,797.17/x
  3. Step 3: Cross multiply
    7,077.67x = 10,624.71 × 3,797.17
  4. Step 4: Simplify right side
    7,077.67x = 40,343,830.07
  5. Step 5: Solve for x
    x = 40,343,830.07/7,077.67
  6. Step 6: Final answer
    x = 5,700.16

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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.