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Finding the Fourth Proportional to 7,857.50, 11,762.84 and 5,076.05

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Solution

The fourth proportional to 7,857.50, 11,762.84 and 5,076.05 is: 7,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.50 : 11,762.84 = 5,076.05 : x
  2. Step 2: Convert to fraction form
    7,857.50/11,762.84 = 5,076.05/x
  3. Step 3: Cross multiply
    7,857.50x = 11,762.84 × 5,076.05
  4. Step 4: Simplify right side
    7,857.50x = 59,708,679.79
  5. Step 5: Solve for x
    x = 59,708,679.79/7,857.50
  6. Step 6: Final answer
    x = 7,598.95

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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.