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Finding the Fourth Proportional to 10,773.61, 16,065.41 and 9,462.83

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Solution

The fourth proportional to 10,773.61, 16,065.41 and 9,462.83 is: 14,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.61 : 16,065.41 = 9,462.83 : x
  2. Step 2: Convert to fraction form
    10,773.61/16,065.41 = 9,462.83/x
  3. Step 3: Cross multiply
    10,773.61x = 16,065.41 × 9,462.83
  4. Step 4: Simplify right side
    10,773.61x = 152,024,116.07
  5. Step 5: Solve for x
    x = 152,024,116.07/10,773.61
  6. Step 6: Final answer
    x = 14,110.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.