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Finding the Fourth Proportional to 7,153.95, 10,733.16 and 3,208.52

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Solution

The fourth proportional to 7,153.95, 10,733.16 and 3,208.52 is: 4,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.95 : 10,733.16 = 3,208.52 : x
  2. Step 2: Convert to fraction form
    7,153.95/10,733.16 = 3,208.52/x
  3. Step 3: Cross multiply
    7,153.95x = 10,733.16 × 3,208.52
  4. Step 4: Simplify right side
    7,153.95x = 34,437,504.86
  5. Step 5: Solve for x
    x = 34,437,504.86/7,153.95
  6. Step 6: Final answer
    x = 4,813.77

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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.