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Finding the Fourth Proportional to 8,371.20, 11,551.88 and 4,594.30

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Solution

The fourth proportional to 8,371.20, 11,551.88 and 4,594.30 is: 6,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.20 : 11,551.88 = 4,594.30 : x
  2. Step 2: Convert to fraction form
    8,371.20/11,551.88 = 4,594.30/x
  3. Step 3: Cross multiply
    8,371.20x = 11,551.88 × 4,594.30
  4. Step 4: Simplify right side
    8,371.20x = 53,072,802.28
  5. Step 5: Solve for x
    x = 53,072,802.28/8,371.20
  6. Step 6: Final answer
    x = 6,339.93

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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.