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Finding the Fourth Proportional to 7,704.68, 10,632.42 and 4,347.47

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Solution

The fourth proportional to 7,704.68, 10,632.42 and 4,347.47 is: 5,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.68 : 10,632.42 = 4,347.47 : x
  2. Step 2: Convert to fraction form
    7,704.68/10,632.42 = 4,347.47/x
  3. Step 3: Cross multiply
    7,704.68x = 10,632.42 × 4,347.47
  4. Step 4: Simplify right side
    7,704.68x = 46,224,073.82
  5. Step 5: Solve for x
    x = 46,224,073.82/7,704.68
  6. Step 6: Final answer
    x = 5,999.48

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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.