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Finding the Fourth Proportional to 7,704.77, 10,632.58 and 4,167.98

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Solution

The fourth proportional to 7,704.77, 10,632.58 and 4,167.98 is: 5,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.77 : 10,632.58 = 4,167.98 : x
  2. Step 2: Convert to fraction form
    7,704.77/10,632.58 = 4,167.98/x
  3. Step 3: Cross multiply
    7,704.77x = 10,632.58 × 4,167.98
  4. Step 4: Simplify right side
    7,704.77x = 44,316,392.84
  5. Step 5: Solve for x
    x = 44,316,392.84/7,704.77
  6. Step 6: Final answer
    x = 5,751.81

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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.