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Finding the Fourth Proportional to 25,583, 38,376.66 and 7,115

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Solution

The fourth proportional to 25,583, 38,376.66 and 7,115 is: 10,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,583 : 38,376.66 = 7,115 : x
  2. Step 2: Convert to fraction form
    25,583/38,376.66 = 7,115/x
  3. Step 3: Cross multiply
    25,583x = 38,376.66 × 7,115
  4. Step 4: Simplify right side
    25,583x = 273,049,935.90
  5. Step 5: Solve for x
    x = 273,049,935.90/25,583
  6. Step 6: Final answer
    x = 10,673.10

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Why These Related Problems?

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