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Finding the Fourth Proportional to 8,237.98, 11,387.10 and 7,584.06

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Solution

The fourth proportional to 8,237.98, 11,387.10 and 7,584.06 is: 10,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.98 : 11,387.10 = 7,584.06 : x
  2. Step 2: Convert to fraction form
    8,237.98/11,387.10 = 7,584.06/x
  3. Step 3: Cross multiply
    8,237.98x = 11,387.10 × 7,584.06
  4. Step 4: Simplify right side
    8,237.98x = 86,360,520.77
  5. Step 5: Solve for x
    x = 86,360,520.77/8,237.98
  6. Step 6: Final answer
    x = 10,483.21

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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.