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Finding the Fourth Proportional to 8,238.04, 11,368.41 and 4,461.14

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Solution

The fourth proportional to 8,238.04, 11,368.41 and 4,461.14 is: 6,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.04 : 11,368.41 = 4,461.14 : x
  2. Step 2: Convert to fraction form
    8,238.04/11,368.41 = 4,461.14/x
  3. Step 3: Cross multiply
    8,238.04x = 11,368.41 × 4,461.14
  4. Step 4: Simplify right side
    8,238.04x = 50,716,080.28
  5. Step 5: Solve for x
    x = 50,716,080.28/8,238.04
  6. Step 6: Final answer
    x = 6,156.33

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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.