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Finding the Fourth Proportional to 7,616.84, 11,416.14 and 4,325.40

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Solution

The fourth proportional to 7,616.84, 11,416.14 and 4,325.40 is: 6,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.84 : 11,416.14 = 4,325.40 : x
  2. Step 2: Convert to fraction form
    7,616.84/11,416.14 = 4,325.40/x
  3. Step 3: Cross multiply
    7,616.84x = 11,416.14 × 4,325.40
  4. Step 4: Simplify right side
    7,616.84x = 49,379,371.96
  5. Step 5: Solve for x
    x = 49,379,371.96/7,616.84
  6. Step 6: Final answer
    x = 6,482.93

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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.