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Finding the Fourth Proportional to 7,175.02, 9,900.61 and 4,188.69

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Solution

The fourth proportional to 7,175.02, 9,900.61 and 4,188.69 is: 5,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.02 : 9,900.61 = 4,188.69 : x
  2. Step 2: Convert to fraction form
    7,175.02/9,900.61 = 4,188.69/x
  3. Step 3: Cross multiply
    7,175.02x = 9,900.61 × 4,188.69
  4. Step 4: Simplify right side
    7,175.02x = 41,470,586.10
  5. Step 5: Solve for x
    x = 41,470,586.10/7,175.02
  6. Step 6: Final answer
    x = 5,779.86

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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.