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Finding the Fourth Proportional to 8,660.16, 12,983.76 and 7,780.50

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Solution

The fourth proportional to 8,660.16, 12,983.76 and 7,780.50 is: 11,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.16 : 12,983.76 = 7,780.50 : x
  2. Step 2: Convert to fraction form
    8,660.16/12,983.76 = 7,780.50/x
  3. Step 3: Cross multiply
    8,660.16x = 12,983.76 × 7,780.50
  4. Step 4: Simplify right side
    8,660.16x = 101,020,144.68
  5. Step 5: Solve for x
    x = 101,020,144.68/8,660.16
  6. Step 6: Final answer
    x = 11,664.93

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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.