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Finding the Fourth Proportional to 10,911.38, 15,056.99 and 6,434.10

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Solution

The fourth proportional to 10,911.38, 15,056.99 and 6,434.10 is: 8,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.38 : 15,056.99 = 6,434.10 : x
  2. Step 2: Convert to fraction form
    10,911.38/15,056.99 = 6,434.10/x
  3. Step 3: Cross multiply
    10,911.38x = 15,056.99 × 6,434.10
  4. Step 4: Simplify right side
    10,911.38x = 96,878,171.32
  5. Step 5: Solve for x
    x = 96,878,171.32/10,911.38
  6. Step 6: Final answer
    x = 8,878.64

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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.