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Finding the Fourth Proportional to 11,044, 15,240.72 and 6,076.32

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Solution

The fourth proportional to 11,044, 15,240.72 and 6,076.32 is: 8,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,044 : 15,240.72 = 6,076.32 : x
  2. Step 2: Convert to fraction form
    11,044/15,240.72 = 6,076.32/x
  3. Step 3: Cross multiply
    11,044x = 15,240.72 × 6,076.32
  4. Step 4: Simplify right side
    11,044x = 92,607,491.75
  5. Step 5: Solve for x
    x = 92,607,491.75/11,044
  6. Step 6: Final answer
    x = 8,385.32

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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.