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Finding the Fourth Proportional to 7,633.65, 11,450.63 and 5,017.86

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Solution

The fourth proportional to 7,633.65, 11,450.63 and 5,017.86 is: 7,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.65 : 11,450.63 = 5,017.86 : x
  2. Step 2: Convert to fraction form
    7,633.65/11,450.63 = 5,017.86/x
  3. Step 3: Cross multiply
    7,633.65x = 11,450.63 × 5,017.86
  4. Step 4: Simplify right side
    7,633.65x = 57,457,670.80
  5. Step 5: Solve for x
    x = 57,457,670.80/7,633.65
  6. Step 6: Final answer
    x = 7,526.89

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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.