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Finding the Fourth Proportional to 10,441.16, 15,633.48 and 7,646.66

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Solution

The fourth proportional to 10,441.16, 15,633.48 and 7,646.66 is: 11,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.16 : 15,633.48 = 7,646.66 : x
  2. Step 2: Convert to fraction form
    10,441.16/15,633.48 = 7,646.66/x
  3. Step 3: Cross multiply
    10,441.16x = 15,633.48 × 7,646.66
  4. Step 4: Simplify right side
    10,441.16x = 119,543,828.01
  5. Step 5: Solve for x
    x = 119,543,828.01/10,441.16
  6. Step 6: Final answer
    x = 11,449.29

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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.