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Finding the Fourth Proportional to 8,960.25, 13,440.99 and 2,386.50

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Solution

The fourth proportional to 8,960.25, 13,440.99 and 2,386.50 is: 3,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.25 : 13,440.99 = 2,386.50 : x
  2. Step 2: Convert to fraction form
    8,960.25/13,440.99 = 2,386.50/x
  3. Step 3: Cross multiply
    8,960.25x = 13,440.99 × 2,386.50
  4. Step 4: Simplify right side
    8,960.25x = 32,076,867.76
  5. Step 5: Solve for x
    x = 32,076,867.76/8,960.25
  6. Step 6: Final answer
    x = 3,579.91

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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.