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Finding the Fourth Proportional to 7,886.15, 11,804.61 and 5,808.50

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Solution

The fourth proportional to 7,886.15, 11,804.61 and 5,808.50 is: 8,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.15 : 11,804.61 = 5,808.50 : x
  2. Step 2: Convert to fraction form
    7,886.15/11,804.61 = 5,808.50/x
  3. Step 3: Cross multiply
    7,886.15x = 11,804.61 × 5,808.50
  4. Step 4: Simplify right side
    7,886.15x = 68,567,077.19
  5. Step 5: Solve for x
    x = 68,567,077.19/7,886.15
  6. Step 6: Final answer
    x = 8,694.62

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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.