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Finding the Fourth Proportional to 8,608.57, 11,875 and 5,420.68

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Solution

The fourth proportional to 8,608.57, 11,875 and 5,420.68 is: 7,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608.57 : 11,875 = 5,420.68 : x
  2. Step 2: Convert to fraction form
    8,608.57/11,875 = 5,420.68/x
  3. Step 3: Cross multiply
    8,608.57x = 11,875 × 5,420.68
  4. Step 4: Simplify right side
    8,608.57x = 64,370,575
  5. Step 5: Solve for x
    x = 64,370,575/8,608.57
  6. Step 6: Final answer
    x = 7,477.50

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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.