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Finding the Fourth Proportional to 11,476, 15,836.88 and 6,508

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Solution

The fourth proportional to 11,476, 15,836.88 and 6,508 is: 8,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476 : 15,836.88 = 6,508 : x
  2. Step 2: Convert to fraction form
    11,476/15,836.88 = 6,508/x
  3. Step 3: Cross multiply
    11,476x = 15,836.88 × 6,508
  4. Step 4: Simplify right side
    11,476x = 103,066,415.04
  5. Step 5: Solve for x
    x = 103,066,415.04/11,476
  6. Step 6: Final answer
    x = 8,981.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.