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Finding the Fourth Proportional to 27,634.64, 41,454.99 and 7,916.40

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Solution

The fourth proportional to 27,634.64, 41,454.99 and 7,916.40 is: 11,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.64 : 41,454.99 = 7,916.40 : x
  2. Step 2: Convert to fraction form
    27,634.64/41,454.99 = 7,916.40/x
  3. Step 3: Cross multiply
    27,634.64x = 41,454.99 × 7,916.40
  4. Step 4: Simplify right side
    27,634.64x = 328,174,282.84
  5. Step 5: Solve for x
    x = 328,174,282.84/27,634.64
  6. Step 6: Final answer
    x = 11,875.47

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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.