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Finding the Fourth Proportional to 10,785.51, 16,178.31 and 6,406.65

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Solution

The fourth proportional to 10,785.51, 16,178.31 and 6,406.65 is: 9,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.51 : 16,178.31 = 6,406.65 : x
  2. Step 2: Convert to fraction form
    10,785.51/16,178.31 = 6,406.65/x
  3. Step 3: Cross multiply
    10,785.51x = 16,178.31 × 6,406.65
  4. Step 4: Simplify right side
    10,785.51x = 103,648,769.76
  5. Step 5: Solve for x
    x = 103,648,769.76/10,785.51
  6. Step 6: Final answer
    x = 9,610.00

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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.