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Finding the Fourth Proportional to 10,446.66, 15,670.61 and 4,206.65

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Solution

The fourth proportional to 10,446.66, 15,670.61 and 4,206.65 is: 6,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.66 : 15,670.61 = 4,206.65 : x
  2. Step 2: Convert to fraction form
    10,446.66/15,670.61 = 4,206.65/x
  3. Step 3: Cross multiply
    10,446.66x = 15,670.61 × 4,206.65
  4. Step 4: Simplify right side
    10,446.66x = 65,920,703.72
  5. Step 5: Solve for x
    x = 65,920,703.72/10,446.66
  6. Step 6: Final answer
    x = 6,310.22

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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.