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Finding the Fourth Proportional to 8,088, 12,132.48 and 2,616

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Solution

The fourth proportional to 8,088, 12,132.48 and 2,616 is: 3,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088 : 12,132.48 = 2,616 : x
  2. Step 2: Convert to fraction form
    8,088/12,132.48 = 2,616/x
  3. Step 3: Cross multiply
    8,088x = 12,132.48 × 2,616
  4. Step 4: Simplify right side
    8,088x = 31,738,567.68
  5. Step 5: Solve for x
    x = 31,738,567.68/8,088
  6. Step 6: Final answer
    x = 3,924.16

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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.