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Finding the Fourth Proportional to 7,715.93, 10,640.52 and 6,520.94

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Solution

The fourth proportional to 7,715.93, 10,640.52 and 6,520.94 is: 8,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.93 : 10,640.52 = 6,520.94 : x
  2. Step 2: Convert to fraction form
    7,715.93/10,640.52 = 6,520.94/x
  3. Step 3: Cross multiply
    7,715.93x = 10,640.52 × 6,520.94
  4. Step 4: Simplify right side
    7,715.93x = 69,386,197.53
  5. Step 5: Solve for x
    x = 69,386,197.53/7,715.93
  6. Step 6: Final answer
    x = 8,992.60

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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.