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Finding the Fourth Proportional to 7,709.55, 11,570.88 and 3,032.83

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Solution

The fourth proportional to 7,709.55, 11,570.88 and 3,032.83 is: 4,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.55 : 11,570.88 = 3,032.83 : x
  2. Step 2: Convert to fraction form
    7,709.55/11,570.88 = 3,032.83/x
  3. Step 3: Cross multiply
    7,709.55x = 11,570.88 × 3,032.83
  4. Step 4: Simplify right side
    7,709.55x = 35,092,511.99
  5. Step 5: Solve for x
    x = 35,092,511.99/7,709.55
  6. Step 6: Final answer
    x = 4,551.82

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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.