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Finding the Fourth Proportional to 8,368.04, 12,551.76 and 2,524.50

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Solution

The fourth proportional to 8,368.04, 12,551.76 and 2,524.50 is: 3,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.04 : 12,551.76 = 2,524.50 : x
  2. Step 2: Convert to fraction form
    8,368.04/12,551.76 = 2,524.50/x
  3. Step 3: Cross multiply
    8,368.04x = 12,551.76 × 2,524.50
  4. Step 4: Simplify right side
    8,368.04x = 31,686,918.12
  5. Step 5: Solve for x
    x = 31,686,918.12/8,368.04
  6. Step 6: Final answer
    x = 3,786.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.