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Finding the Fourth Proportional to 10,693, 16,046.18 and 5,146.93

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Solution

The fourth proportional to 10,693, 16,046.18 and 5,146.93 is: 7,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693 : 16,046.18 = 5,146.93 : x
  2. Step 2: Convert to fraction form
    10,693/16,046.18 = 5,146.93/x
  3. Step 3: Cross multiply
    10,693x = 16,046.18 × 5,146.93
  4. Step 4: Simplify right side
    10,693x = 82,588,565.23
  5. Step 5: Solve for x
    x = 82,588,565.23/10,693
  6. Step 6: Final answer
    x = 7,723.61

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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.