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Finding the Fourth Proportional to 7,660.94, 10,571.82 and 4,681.76

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Solution

The fourth proportional to 7,660.94, 10,571.82 and 4,681.76 is: 6,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.94 : 10,571.82 = 4,681.76 : x
  2. Step 2: Convert to fraction form
    7,660.94/10,571.82 = 4,681.76/x
  3. Step 3: Cross multiply
    7,660.94x = 10,571.82 × 4,681.76
  4. Step 4: Simplify right side
    7,660.94x = 49,494,724.00
  5. Step 5: Solve for x
    x = 49,494,724.00/7,660.94
  6. Step 6: Final answer
    x = 6,460.66

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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.