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Finding the Fourth Proportional to 7,652.90, 11,468.57 and 6,085.95

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Solution

The fourth proportional to 7,652.90, 11,468.57 and 6,085.95 is: 9,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.90 : 11,468.57 = 6,085.95 : x
  2. Step 2: Convert to fraction form
    7,652.90/11,468.57 = 6,085.95/x
  3. Step 3: Cross multiply
    7,652.90x = 11,468.57 × 6,085.95
  4. Step 4: Simplify right side
    7,652.90x = 69,797,143.59
  5. Step 5: Solve for x
    x = 69,797,143.59/7,652.90
  6. Step 6: Final answer
    x = 9,120.35

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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.