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Finding the Fourth Proportional to 8,133.72, 12,201.06 and 2,587.50

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Solution

The fourth proportional to 8,133.72, 12,201.06 and 2,587.50 is: 3,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.72 : 12,201.06 = 2,587.50 : x
  2. Step 2: Convert to fraction form
    8,133.72/12,201.06 = 2,587.50/x
  3. Step 3: Cross multiply
    8,133.72x = 12,201.06 × 2,587.50
  4. Step 4: Simplify right side
    8,133.72x = 31,570,242.75
  5. Step 5: Solve for x
    x = 31,570,242.75/8,133.72
  6. Step 6: Final answer
    x = 3,881.40

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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.