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Finding the Fourth Proportional to 10,713.60, 16,064.93 and 4,141.67

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Solution

The fourth proportional to 10,713.60, 16,064.93 and 4,141.67 is: 6,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.60 : 16,064.93 = 4,141.67 : x
  2. Step 2: Convert to fraction form
    10,713.60/16,064.93 = 4,141.67/x
  3. Step 3: Cross multiply
    10,713.60x = 16,064.93 × 4,141.67
  4. Step 4: Simplify right side
    10,713.60x = 66,535,568.66
  5. Step 5: Solve for x
    x = 66,535,568.66/10,713.60
  6. Step 6: Final answer
    x = 6,210.38

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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.