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Finding the Fourth Proportional to 7,693.16, 11,537.66 and 3,309.64

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Solution

The fourth proportional to 7,693.16, 11,537.66 and 3,309.64 is: 4,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.16 : 11,537.66 = 3,309.64 : x
  2. Step 2: Convert to fraction form
    7,693.16/11,537.66 = 3,309.64/x
  3. Step 3: Cross multiply
    7,693.16x = 11,537.66 × 3,309.64
  4. Step 4: Simplify right side
    7,693.16x = 38,185,501.04
  5. Step 5: Solve for x
    x = 38,185,501.04/7,693.16
  6. Step 6: Final answer
    x = 4,963.57

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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.