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Finding the Fourth Proportional to 10,713.55, 16,064.56 and 3,314.83

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Solution

The fourth proportional to 10,713.55, 16,064.56 and 3,314.83 is: 4,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.55 : 16,064.56 = 3,314.83 : x
  2. Step 2: Convert to fraction form
    10,713.55/16,064.56 = 3,314.83/x
  3. Step 3: Cross multiply
    10,713.55x = 16,064.56 × 3,314.83
  4. Step 4: Simplify right side
    10,713.55x = 53,251,285.42
  5. Step 5: Solve for x
    x = 53,251,285.42/10,713.55
  6. Step 6: Final answer
    x = 4,970.46

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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.