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Finding the Fourth Proportional to 7,111.96, 9,815.50 and 5,129.08

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Solution

The fourth proportional to 7,111.96, 9,815.50 and 5,129.08 is: 7,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.96 : 9,815.50 = 5,129.08 : x
  2. Step 2: Convert to fraction form
    7,111.96/9,815.50 = 5,129.08/x
  3. Step 3: Cross multiply
    7,111.96x = 9,815.50 × 5,129.08
  4. Step 4: Simplify right side
    7,111.96x = 50,344,484.74
  5. Step 5: Solve for x
    x = 50,344,484.74/7,111.96
  6. Step 6: Final answer
    x = 7,078.85

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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.