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Finding the Fourth Proportional to 7,886.01, 11,812.05 and 3,719.77

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Solution

The fourth proportional to 7,886.01, 11,812.05 and 3,719.77 is: 5,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.01 : 11,812.05 = 3,719.77 : x
  2. Step 2: Convert to fraction form
    7,886.01/11,812.05 = 3,719.77/x
  3. Step 3: Cross multiply
    7,886.01x = 11,812.05 × 3,719.77
  4. Step 4: Simplify right side
    7,886.01x = 43,938,156.60
  5. Step 5: Solve for x
    x = 43,938,156.60/7,886.01
  6. Step 6: Final answer
    x = 5,571.66

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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.