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Finding the Fourth Proportional to 11,057.40, 15,259.08 and 6,341.64

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Solution

The fourth proportional to 11,057.40, 15,259.08 and 6,341.64 is: 8,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.40 : 15,259.08 = 6,341.64 : x
  2. Step 2: Convert to fraction form
    11,057.40/15,259.08 = 6,341.64/x
  3. Step 3: Cross multiply
    11,057.40x = 15,259.08 × 6,341.64
  4. Step 4: Simplify right side
    11,057.40x = 96,767,592.09
  5. Step 5: Solve for x
    x = 96,767,592.09/11,057.40
  6. Step 6: Final answer
    x = 8,751.39

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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.