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Finding the Fourth Proportional to 8,837, 12,185.04 and 5,646.08

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Solution

The fourth proportional to 8,837, 12,185.04 and 5,646.08 is: 7,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837 : 12,185.04 = 5,646.08 : x
  2. Step 2: Convert to fraction form
    8,837/12,185.04 = 5,646.08/x
  3. Step 3: Cross multiply
    8,837x = 12,185.04 × 5,646.08
  4. Step 4: Simplify right side
    8,837x = 68,797,710.64
  5. Step 5: Solve for x
    x = 68,797,710.64/8,837
  6. Step 6: Final answer
    x = 7,785.19

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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.