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Finding the Fourth Proportional to 8,417.85, 12,624.45 and 3,486.30

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Solution

The fourth proportional to 8,417.85, 12,624.45 and 3,486.30 is: 5,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.85 : 12,624.45 = 3,486.30 : x
  2. Step 2: Convert to fraction form
    8,417.85/12,624.45 = 3,486.30/x
  3. Step 3: Cross multiply
    8,417.85x = 12,624.45 × 3,486.30
  4. Step 4: Simplify right side
    8,417.85x = 44,012,620.04
  5. Step 5: Solve for x
    x = 44,012,620.04/8,417.85
  6. Step 6: Final answer
    x = 5,228.49

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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.