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Finding the Fourth Proportional to 10,321.65, 14,246.15 and 6,785.19

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Solution

The fourth proportional to 10,321.65, 14,246.15 and 6,785.19 is: 9,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.65 : 14,246.15 = 6,785.19 : x
  2. Step 2: Convert to fraction form
    10,321.65/14,246.15 = 6,785.19/x
  3. Step 3: Cross multiply
    10,321.65x = 14,246.15 × 6,785.19
  4. Step 4: Simplify right side
    10,321.65x = 96,662,834.52
  5. Step 5: Solve for x
    x = 96,662,834.52/10,321.65
  6. Step 6: Final answer
    x = 9,365.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.