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Finding the Fourth Proportional to 8,436.76, 11,643.04 and 4,899.08

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Solution

The fourth proportional to 8,436.76, 11,643.04 and 4,899.08 is: 6,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.76 : 11,643.04 = 4,899.08 : x
  2. Step 2: Convert to fraction form
    8,436.76/11,643.04 = 4,899.08/x
  3. Step 3: Cross multiply
    8,436.76x = 11,643.04 × 4,899.08
  4. Step 4: Simplify right side
    8,436.76x = 57,040,219.63
  5. Step 5: Solve for x
    x = 57,040,219.63/8,436.76
  6. Step 6: Final answer
    x = 6,760.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.