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Finding the Fourth Proportional to 11,094.32, 15,310 and 6,379.60

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Solution

The fourth proportional to 11,094.32, 15,310 and 6,379.60 is: 8,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.32 : 15,310 = 6,379.60 : x
  2. Step 2: Convert to fraction form
    11,094.32/15,310 = 6,379.60/x
  3. Step 3: Cross multiply
    11,094.32x = 15,310 × 6,379.60
  4. Step 4: Simplify right side
    11,094.32x = 97,671,676
  5. Step 5: Solve for x
    x = 97,671,676/11,094.32
  6. Step 6: Final answer
    x = 8,803.76

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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.