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Finding the Fourth Proportional to 8,637.03, 12,960.81 and 3,442.50

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Solution

The fourth proportional to 8,637.03, 12,960.81 and 3,442.50 is: 5,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.03 : 12,960.81 = 3,442.50 : x
  2. Step 2: Convert to fraction form
    8,637.03/12,960.81 = 3,442.50/x
  3. Step 3: Cross multiply
    8,637.03x = 12,960.81 × 3,442.50
  4. Step 4: Simplify right side
    8,637.03x = 44,617,588.43
  5. Step 5: Solve for x
    x = 44,617,588.43/8,637.03
  6. Step 6: Final answer
    x = 5,165.85

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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.