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Finding the Fourth Proportional to 8,371.56, 11,552.78 and 4,595.06

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Solution

The fourth proportional to 8,371.56, 11,552.78 and 4,595.06 is: 6,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.56 : 11,552.78 = 4,595.06 : x
  2. Step 2: Convert to fraction form
    8,371.56/11,552.78 = 4,595.06/x
  3. Step 3: Cross multiply
    8,371.56x = 11,552.78 × 4,595.06
  4. Step 4: Simplify right side
    8,371.56x = 53,085,717.27
  5. Step 5: Solve for x
    x = 53,085,717.27/8,371.56
  6. Step 6: Final answer
    x = 6,341.20

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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.