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Finding the Fourth Proportional to 15,310.40, 22,965.06 and 6,076.40

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Solution

The fourth proportional to 15,310.40, 22,965.06 and 6,076.40 is: 9,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310.40 : 22,965.06 = 6,076.40 : x
  2. Step 2: Convert to fraction form
    15,310.40/22,965.06 = 6,076.40/x
  3. Step 3: Cross multiply
    15,310.40x = 22,965.06 × 6,076.40
  4. Step 4: Simplify right side
    15,310.40x = 139,544,890.58
  5. Step 5: Solve for x
    x = 139,544,890.58/15,310.40
  6. Step 6: Final answer
    x = 9,114.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.