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Finding the Fourth Proportional to 11,038, 15,232.44 and 6,070

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Solution

The fourth proportional to 11,038, 15,232.44 and 6,070 is: 8,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038 : 15,232.44 = 6,070 : x
  2. Step 2: Convert to fraction form
    11,038/15,232.44 = 6,070/x
  3. Step 3: Cross multiply
    11,038x = 15,232.44 × 6,070
  4. Step 4: Simplify right side
    11,038x = 92,460,910.80
  5. Step 5: Solve for x
    x = 92,460,910.80/11,038
  6. Step 6: Final answer
    x = 8,376.60

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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.