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Finding the Fourth Proportional to 12,083.52, 18,130.32 and 4,693.17

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Solution

The fourth proportional to 12,083.52, 18,130.32 and 4,693.17 is: 7,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.52 : 18,130.32 = 4,693.17 : x
  2. Step 2: Convert to fraction form
    12,083.52/18,130.32 = 4,693.17/x
  3. Step 3: Cross multiply
    12,083.52x = 18,130.32 × 4,693.17
  4. Step 4: Simplify right side
    12,083.52x = 85,088,673.91
  5. Step 5: Solve for x
    x = 85,088,673.91/12,083.52
  6. Step 6: Final answer
    x = 7,041.71

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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.