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Finding the Fourth Proportional to 8,496.70, 12,752.34 and 4,117.06

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Solution

The fourth proportional to 8,496.70, 12,752.34 and 4,117.06 is: 6,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.70 : 12,752.34 = 4,117.06 : x
  2. Step 2: Convert to fraction form
    8,496.70/12,752.34 = 4,117.06/x
  3. Step 3: Cross multiply
    8,496.70x = 12,752.34 × 4,117.06
  4. Step 4: Simplify right side
    8,496.70x = 52,502,148.92
  5. Step 5: Solve for x
    x = 52,502,148.92/8,496.70
  6. Step 6: Final answer
    x = 6,179.12

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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.