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Finding the Fourth Proportional to 8,117.64, 11,202.36 and 4,973.85

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Solution

The fourth proportional to 8,117.64, 11,202.36 and 4,973.85 is: 6,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.64 : 11,202.36 = 4,973.85 : x
  2. Step 2: Convert to fraction form
    8,117.64/11,202.36 = 4,973.85/x
  3. Step 3: Cross multiply
    8,117.64x = 11,202.36 × 4,973.85
  4. Step 4: Simplify right side
    8,117.64x = 55,718,858.29
  5. Step 5: Solve for x
    x = 55,718,858.29/8,117.64
  6. Step 6: Final answer
    x = 6,863.92

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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.