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Finding the Fourth Proportional to 8,254.14, 11,387.14 and 5,525.40

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Solution

The fourth proportional to 8,254.14, 11,387.14 and 5,525.40 is: 7,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.14 : 11,387.14 = 5,525.40 : x
  2. Step 2: Convert to fraction form
    8,254.14/11,387.14 = 5,525.40/x
  3. Step 3: Cross multiply
    8,254.14x = 11,387.14 × 5,525.40
  4. Step 4: Simplify right side
    8,254.14x = 62,918,503.36
  5. Step 5: Solve for x
    x = 62,918,503.36/8,254.14
  6. Step 6: Final answer
    x = 7,622.66

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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.