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Finding the Fourth Proportional to 7,715.93, 11,571.47 and 4,902.80

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Solution

The fourth proportional to 7,715.93, 11,571.47 and 4,902.80 is: 7,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.93 : 11,571.47 = 4,902.80 : x
  2. Step 2: Convert to fraction form
    7,715.93/11,571.47 = 4,902.80/x
  3. Step 3: Cross multiply
    7,715.93x = 11,571.47 × 4,902.80
  4. Step 4: Simplify right side
    7,715.93x = 56,732,607.53
  5. Step 5: Solve for x
    x = 56,732,607.53/7,715.93
  6. Step 6: Final answer
    x = 7,352.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.