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Finding the Fourth Proportional to 7,704.74, 10,632.36 and 4,347.46

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Solution

The fourth proportional to 7,704.74, 10,632.36 and 4,347.46 is: 5,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.74 : 10,632.36 = 4,347.46 : x
  2. Step 2: Convert to fraction form
    7,704.74/10,632.36 = 4,347.46/x
  3. Step 3: Cross multiply
    7,704.74x = 10,632.36 × 4,347.46
  4. Step 4: Simplify right side
    7,704.74x = 46,223,819.30
  5. Step 5: Solve for x
    x = 46,223,819.30/7,704.74
  6. Step 6: Final answer
    x = 5,999.40

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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.