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Finding the Fourth Proportional to 11,617.84, 16,032.66 and 6,583

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Solution

The fourth proportional to 11,617.84, 16,032.66 and 6,583 is: 9,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.84 : 16,032.66 = 6,583 : x
  2. Step 2: Convert to fraction form
    11,617.84/16,032.66 = 6,583/x
  3. Step 3: Cross multiply
    11,617.84x = 16,032.66 × 6,583
  4. Step 4: Simplify right side
    11,617.84x = 105,543,000.78
  5. Step 5: Solve for x
    x = 105,543,000.78/11,617.84
  6. Step 6: Final answer
    x = 9,084.56

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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.