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Finding the Fourth Proportional to 8,210.17, 11,330.10 and 4,673.61

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Solution

The fourth proportional to 8,210.17, 11,330.10 and 4,673.61 is: 6,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.17 : 11,330.10 = 4,673.61 : x
  2. Step 2: Convert to fraction form
    8,210.17/11,330.10 = 4,673.61/x
  3. Step 3: Cross multiply
    8,210.17x = 11,330.10 × 4,673.61
  4. Step 4: Simplify right side
    8,210.17x = 52,952,423.69
  5. Step 5: Solve for x
    x = 52,952,423.69/8,210.17
  6. Step 6: Final answer
    x = 6,449.62

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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.