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Finding the Fourth Proportional to 7,641.29, 11,457.22 and 5,005.57

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Solution

The fourth proportional to 7,641.29, 11,457.22 and 5,005.57 is: 7,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.29 : 11,457.22 = 5,005.57 : x
  2. Step 2: Convert to fraction form
    7,641.29/11,457.22 = 5,005.57/x
  3. Step 3: Cross multiply
    7,641.29x = 11,457.22 × 5,005.57
  4. Step 4: Simplify right side
    7,641.29x = 57,349,952.73
  5. Step 5: Solve for x
    x = 57,349,952.73/7,641.29
  6. Step 6: Final answer
    x = 7,505.27

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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.