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Finding the Fourth Proportional to 11,981.84, 16,535.12 and 6,878.20

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Solution

The fourth proportional to 11,981.84, 16,535.12 and 6,878.20 is: 9,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.84 : 16,535.12 = 6,878.20 : x
  2. Step 2: Convert to fraction form
    11,981.84/16,535.12 = 6,878.20/x
  3. Step 3: Cross multiply
    11,981.84x = 16,535.12 × 6,878.20
  4. Step 4: Simplify right side
    11,981.84x = 113,731,862.38
  5. Step 5: Solve for x
    x = 113,731,862.38/11,981.84
  6. Step 6: Final answer
    x = 9,492.02

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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.