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Finding the Fourth Proportional to 11,624.25, 16,034.13 and 7,643.91

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Solution

The fourth proportional to 11,624.25, 16,034.13 and 7,643.91 is: 10,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.25 : 16,034.13 = 7,643.91 : x
  2. Step 2: Convert to fraction form
    11,624.25/16,034.13 = 7,643.91/x
  3. Step 3: Cross multiply
    11,624.25x = 16,034.13 × 7,643.91
  4. Step 4: Simplify right side
    11,624.25x = 122,563,446.65
  5. Step 5: Solve for x
    x = 122,563,446.65/11,624.25
  6. Step 6: Final answer
    x = 10,543.77

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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.