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Finding the Fourth Proportional to 8,133.84, 12,200.76 and 2,587.16

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Solution

The fourth proportional to 8,133.84, 12,200.76 and 2,587.16 is: 3,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.84 : 12,200.76 = 2,587.16 : x
  2. Step 2: Convert to fraction form
    8,133.84/12,200.76 = 2,587.16/x
  3. Step 3: Cross multiply
    8,133.84x = 12,200.76 × 2,587.16
  4. Step 4: Simplify right side
    8,133.84x = 31,565,348.74
  5. Step 5: Solve for x
    x = 31,565,348.74/8,133.84
  6. Step 6: Final answer
    x = 3,880.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.