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Finding the Fourth Proportional to 8,242.12, 11,392.80 and 7,588.18

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Solution

The fourth proportional to 8,242.12, 11,392.80 and 7,588.18 is: 10,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.12 : 11,392.80 = 7,588.18 : x
  2. Step 2: Convert to fraction form
    8,242.12/11,392.80 = 7,588.18/x
  3. Step 3: Cross multiply
    8,242.12x = 11,392.80 × 7,588.18
  4. Step 4: Simplify right side
    8,242.12x = 86,450,617.10
  5. Step 5: Solve for x
    x = 86,450,617.10/8,242.12
  6. Step 6: Final answer
    x = 10,488.88

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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.