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Finding the Fourth Proportional to 8,624.80, 11,918.36 and 7,348

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Solution

The fourth proportional to 8,624.80, 11,918.36 and 7,348 is: 10,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.80 : 11,918.36 = 7,348 : x
  2. Step 2: Convert to fraction form
    8,624.80/11,918.36 = 7,348/x
  3. Step 3: Cross multiply
    8,624.80x = 11,918.36 × 7,348
  4. Step 4: Simplify right side
    8,624.80x = 87,576,109.28
  5. Step 5: Solve for x
    x = 87,576,109.28/8,624.80
  6. Step 6: Final answer
    x = 10,153.99

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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.