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Finding the Fourth Proportional to 10,977.84, 15,151.32 and 8,334

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Solution

The fourth proportional to 10,977.84, 15,151.32 and 8,334 is: 11,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.84 : 15,151.32 = 8,334 : x
  2. Step 2: Convert to fraction form
    10,977.84/15,151.32 = 8,334/x
  3. Step 3: Cross multiply
    10,977.84x = 15,151.32 × 8,334
  4. Step 4: Simplify right side
    10,977.84x = 126,271,100.88
  5. Step 5: Solve for x
    x = 126,271,100.88/10,977.84
  6. Step 6: Final answer
    x = 11,502.36

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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.