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Finding the Fourth Proportional to 7,681.67, 10,600.78 and 4,323.83

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Solution

The fourth proportional to 7,681.67, 10,600.78 and 4,323.83 is: 5,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.67 : 10,600.78 = 4,323.83 : x
  2. Step 2: Convert to fraction form
    7,681.67/10,600.78 = 4,323.83/x
  3. Step 3: Cross multiply
    7,681.67x = 10,600.78 × 4,323.83
  4. Step 4: Simplify right side
    7,681.67x = 45,835,986.28
  5. Step 5: Solve for x
    x = 45,835,986.28/7,681.67
  6. Step 6: Final answer
    x = 5,966.93

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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.