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Finding the Fourth Proportional to 7,876.36, 11,804.14 and 3,710.67

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Solution

The fourth proportional to 7,876.36, 11,804.14 and 3,710.67 is: 5,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.36 : 11,804.14 = 3,710.67 : x
  2. Step 2: Convert to fraction form
    7,876.36/11,804.14 = 3,710.67/x
  3. Step 3: Cross multiply
    7,876.36x = 11,804.14 × 3,710.67
  4. Step 4: Simplify right side
    7,876.36x = 43,801,268.17
  5. Step 5: Solve for x
    x = 43,801,268.17/7,876.36
  6. Step 6: Final answer
    x = 5,561.11

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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.