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Finding the Fourth Proportional to 8,265.04, 11,405.64 and 5,122

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Solution

The fourth proportional to 8,265.04, 11,405.64 and 5,122 is: 7,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.04 : 11,405.64 = 5,122 : x
  2. Step 2: Convert to fraction form
    8,265.04/11,405.64 = 5,122/x
  3. Step 3: Cross multiply
    8,265.04x = 11,405.64 × 5,122
  4. Step 4: Simplify right side
    8,265.04x = 58,419,688.08
  5. Step 5: Solve for x
    x = 58,419,688.08/8,265.04
  6. Step 6: Final answer
    x = 7,068.29

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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.