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Finding the Fourth Proportional to 7,647.48, 11,457.72 and 5,444.82

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Solution

The fourth proportional to 7,647.48, 11,457.72 and 5,444.82 is: 8,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.48 : 11,457.72 = 5,444.82 : x
  2. Step 2: Convert to fraction form
    7,647.48/11,457.72 = 5,444.82/x
  3. Step 3: Cross multiply
    7,647.48x = 11,457.72 × 5,444.82
  4. Step 4: Simplify right side
    7,647.48x = 62,385,223.01
  5. Step 5: Solve for x
    x = 62,385,223.01/7,647.48
  6. Step 6: Final answer
    x = 8,157.62

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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.