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Finding the Fourth Proportional to 7,715.53, 10,647.44 and 4,178.75

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Solution

The fourth proportional to 7,715.53, 10,647.44 and 4,178.75 is: 5,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.53 : 10,647.44 = 4,178.75 : x
  2. Step 2: Convert to fraction form
    7,715.53/10,647.44 = 4,178.75/x
  3. Step 3: Cross multiply
    7,715.53x = 10,647.44 × 4,178.75
  4. Step 4: Simplify right side
    7,715.53x = 44,492,989.90
  5. Step 5: Solve for x
    x = 44,492,989.90/7,715.53
  6. Step 6: Final answer
    x = 5,766.68

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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.