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Finding the Fourth Proportional to 8,421.65, 12,628.83 and 4,472.06

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Solution

The fourth proportional to 8,421.65, 12,628.83 and 4,472.06 is: 6,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.65 : 12,628.83 = 4,472.06 : x
  2. Step 2: Convert to fraction form
    8,421.65/12,628.83 = 4,472.06/x
  3. Step 3: Cross multiply
    8,421.65x = 12,628.83 × 4,472.06
  4. Step 4: Simplify right side
    8,421.65x = 56,476,822.35
  5. Step 5: Solve for x
    x = 56,476,822.35/8,421.65
  6. Step 6: Final answer
    x = 6,706.14

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